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Finding the Third Proportional to 364,498 and 490,687

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Solution

The third proportional to 364,498 and 490,687 is: 660,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,498 : 490,687 = 490,687 : x
  2. Step 2: Convert to fraction form
    364,498/490,687 = 490,687/x
  3. Step 3: Cross multiply
    364,498x = 490,687 × 490,687
  4. Step 4: Simplify right side
    364,498x = 240,773,731,969
  5. Step 5: Solve for x
    x = 240,773,731,969/364,498
  6. Step 6: Final answer
    x = 660,562.56

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.