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Finding the Third Proportional to 458,180 and 673,539

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Solution

The third proportional to 458,180 and 673,539 is: 990,123.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,180 : 673,539 = 673,539 : x
  2. Step 2: Convert to fraction form
    458,180/673,539 = 673,539/x
  3. Step 3: Cross multiply
    458,180x = 673,539 × 673,539
  4. Step 4: Simplify right side
    458,180x = 453,654,784,521
  5. Step 5: Solve for x
    x = 453,654,784,521/458,180
  6. Step 6: Final answer
    x = 990,123.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.