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Finding the Third Proportional to 425,654 and 915,885

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Solution

The third proportional to 425,654 and 915,885 is: 1,970,721.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,654 : 915,885 = 915,885 : x
  2. Step 2: Convert to fraction form
    425,654/915,885 = 915,885/x
  3. Step 3: Cross multiply
    425,654x = 915,885 × 915,885
  4. Step 4: Simplify right side
    425,654x = 838,845,333,225
  5. Step 5: Solve for x
    x = 838,845,333,225/425,654
  6. Step 6: Final answer
    x = 1,970,721.13

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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.