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Finding the Third Proportional to 76,554 and 112,643

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Solution

The third proportional to 76,554 and 112,643 is: 165,745.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,554 : 112,643 = 112,643 : x
  2. Step 2: Convert to fraction form
    76,554/112,643 = 112,643/x
  3. Step 3: Cross multiply
    76,554x = 112,643 × 112,643
  4. Step 4: Simplify right side
    76,554x = 12,688,445,449
  5. Step 5: Solve for x
    x = 12,688,445,449/76,554
  6. Step 6: Final answer
    x = 165,745.04

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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.