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Finding the Third Proportional to 76,484 and 112,475

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Solution

The third proportional to 76,484 and 112,475 is: 165,402.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,484 : 112,475 = 112,475 : x
  2. Step 2: Convert to fraction form
    76,484/112,475 = 112,475/x
  3. Step 3: Cross multiply
    76,484x = 112,475 × 112,475
  4. Step 4: Simplify right side
    76,484x = 12,650,625,625
  5. Step 5: Solve for x
    x = 12,650,625,625/76,484
  6. Step 6: Final answer
    x = 165,402.25

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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.