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Finding the Third Proportional to 290,681 and 616,542

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Solution

The third proportional to 290,681 and 616,542 is: 1,307,701.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,681 : 616,542 = 616,542 : x
  2. Step 2: Convert to fraction form
    290,681/616,542 = 616,542/x
  3. Step 3: Cross multiply
    290,681x = 616,542 × 616,542
  4. Step 4: Simplify right side
    290,681x = 380,124,037,764
  5. Step 5: Solve for x
    x = 380,124,037,764/290,681
  6. Step 6: Final answer
    x = 1,307,701.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.