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Finding the Third Proportional to 657,532 and 990,078

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Solution

The third proportional to 657,532 and 990,078 is: 1,490,808.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,532 : 990,078 = 990,078 : x
  2. Step 2: Convert to fraction form
    657,532/990,078 = 990,078/x
  3. Step 3: Cross multiply
    657,532x = 990,078 × 990,078
  4. Step 4: Simplify right side
    657,532x = 980,254,446,084
  5. Step 5: Solve for x
    x = 980,254,446,084/657,532
  6. Step 6: Final answer
    x = 1,490,808.73

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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.