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Finding the Third Proportional to 657,540 and 990,090

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Solution

The third proportional to 657,540 and 990,090 is: 1,490,826.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,540 : 990,090 = 990,090 : x
  2. Step 2: Convert to fraction form
    657,540/990,090 = 990,090/x
  3. Step 3: Cross multiply
    657,540x = 990,090 × 990,090
  4. Step 4: Simplify right side
    657,540x = 980,278,208,100
  5. Step 5: Solve for x
    x = 980,278,208,100/657,540
  6. Step 6: Final answer
    x = 1,490,826.73

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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.