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Finding the Third Proportional to 425,970 and 646,731

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Solution

The third proportional to 425,970 and 646,731 is: 981,902.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,970 : 646,731 = 646,731 : x
  2. Step 2: Convert to fraction form
    425,970/646,731 = 646,731/x
  3. Step 3: Cross multiply
    425,970x = 646,731 × 646,731
  4. Step 4: Simplify right side
    425,970x = 418,260,986,361
  5. Step 5: Solve for x
    x = 418,260,986,361/425,970
  6. Step 6: Final answer
    x = 981,902.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.