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Finding the Third Proportional to 657,486 and 990,580

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Solution

The third proportional to 657,486 and 990,580 is: 1,492,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,486 : 990,580 = 990,580 : x
  2. Step 2: Convert to fraction form
    657,486/990,580 = 990,580/x
  3. Step 3: Cross multiply
    657,486x = 990,580 × 990,580
  4. Step 4: Simplify right side
    657,486x = 981,248,736,400
  5. Step 5: Solve for x
    x = 981,248,736,400/657,486
  6. Step 6: Final answer
    x = 1,492,425.29

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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.