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Finding the Third Proportional to 80,572 and 118,486

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Solution

The third proportional to 80,572 and 118,486 is: 174,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,572 : 118,486 = 118,486 : x
  2. Step 2: Convert to fraction form
    80,572/118,486 = 118,486/x
  3. Step 3: Cross multiply
    80,572x = 118,486 × 118,486
  4. Step 4: Simplify right side
    80,572x = 14,038,932,196
  5. Step 5: Solve for x
    x = 14,038,932,196/80,572
  6. Step 6: Final answer
    x = 174,240.83

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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.