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Finding the Third Proportional to 331,910,506,484 and 714,161,370,212

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Solution

The third proportional to 331,910,506,484 and 714,161,370,212 is: 1,536,638,499,654.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,910,506,484 : 714,161,370,212 = 714,161,370,212 : x
  2. Step 2: Convert to fraction form
    331,910,506,484/714,161,370,212 = 714,161,370,212/x
  3. Step 3: Cross multiply
    331,910,506,484x = 714,161,370,212 × 714,161,370,212
  4. Step 4: Simplify right side
    331,910,506,484x = 510,026,462,703,081,295,446,016
  5. Step 5: Solve for x
    x = 510,026,462,703,081,295,446,016/331,910,506,484
  6. Step 6: Final answer
    x = 1,536,638,499,654.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.