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Finding the Third Proportional to 657,538 and 990,087

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Solution

The third proportional to 657,538 and 990,087 is: 1,490,822.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,538 : 990,087 = 990,087 : x
  2. Step 2: Convert to fraction form
    657,538/990,087 = 990,087/x
  3. Step 3: Cross multiply
    657,538x = 990,087 × 990,087
  4. Step 4: Simplify right side
    657,538x = 980,272,267,569
  5. Step 5: Solve for x
    x = 980,272,267,569/657,538
  6. Step 6: Final answer
    x = 1,490,822.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.