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Finding the Third Proportional to 425,681 and 915,939

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Solution

The third proportional to 425,681 and 915,939 is: 1,970,828.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,681 : 915,939 = 915,939 : x
  2. Step 2: Convert to fraction form
    425,681/915,939 = 915,939/x
  3. Step 3: Cross multiply
    425,681x = 915,939 × 915,939
  4. Step 4: Simplify right side
    425,681x = 838,944,251,721
  5. Step 5: Solve for x
    x = 838,944,251,721/425,681
  6. Step 6: Final answer
    x = 1,970,828.51

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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.