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Finding the Third Proportional to 331,994 and 720,283

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Solution

The third proportional to 331,994 and 720,283 is: 1,562,701.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,994 : 720,283 = 720,283 : x
  2. Step 2: Convert to fraction form
    331,994/720,283 = 720,283/x
  3. Step 3: Cross multiply
    331,994x = 720,283 × 720,283
  4. Step 4: Simplify right side
    331,994x = 518,807,600,089
  5. Step 5: Solve for x
    x = 518,807,600,089/331,994
  6. Step 6: Final answer
    x = 1,562,701.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.