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Finding the Third Proportional to 539,792 and 857,748

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Solution

The third proportional to 539,792 and 857,748 is: 1,362,990.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,792 : 857,748 = 857,748 : x
  2. Step 2: Convert to fraction form
    539,792/857,748 = 857,748/x
  3. Step 3: Cross multiply
    539,792x = 857,748 × 857,748
  4. Step 4: Simplify right side
    539,792x = 735,731,631,504
  5. Step 5: Solve for x
    x = 735,731,631,504/539,792
  6. Step 6: Final answer
    x = 1,362,990.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.