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Finding the Third Proportional to 76,448 and 112,420

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Solution

The third proportional to 76,448 and 112,420 is: 165,318.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,448 : 112,420 = 112,420 : x
  2. Step 2: Convert to fraction form
    76,448/112,420 = 112,420/x
  3. Step 3: Cross multiply
    76,448x = 112,420 × 112,420
  4. Step 4: Simplify right side
    76,448x = 12,638,256,400
  5. Step 5: Solve for x
    x = 12,638,256,400/76,448
  6. Step 6: Final answer
    x = 165,318.34

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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.