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Finding the Third Proportional to 657,538 and 990,088

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Solution

The third proportional to 657,538 and 990,088 is: 1,490,825.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,538 : 990,088 = 990,088 : x
  2. Step 2: Convert to fraction form
    657,538/990,088 = 990,088/x
  3. Step 3: Cross multiply
    657,538x = 990,088 × 990,088
  4. Step 4: Simplify right side
    657,538x = 980,274,247,744
  5. Step 5: Solve for x
    x = 980,274,247,744/657,538
  6. Step 6: Final answer
    x = 1,490,825.24

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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.