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Finding the Third Proportional to 418,379,473.69 and 912,090,815.44

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Solution

The third proportional to 418,379,473.69 and 912,090,815.44 is: 1,988,409,345.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,379,473.69 : 912,090,815.44 = 912,090,815.44 : x
  2. Step 2: Convert to fraction form
    418,379,473.69/912,090,815.44 = 912,090,815.44/x
  3. Step 3: Cross multiply
    418,379,473.69x = 912,090,815.44 × 912,090,815.44
  4. Step 4: Simplify right side
    418,379,473.69x = 831,909,655,605,443,712
  5. Step 5: Solve for x
    x = 831,909,655,605,443,712/418,379,473.69
  6. Step 6: Final answer
    x = 1,988,409,345.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.