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Finding the Third Proportional to 78,128 and 110,624

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Solution

The third proportional to 78,128 and 110,624 is: 156,636.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,128 : 110,624 = 110,624 : x
  2. Step 2: Convert to fraction form
    78,128/110,624 = 110,624/x
  3. Step 3: Cross multiply
    78,128x = 110,624 × 110,624
  4. Step 4: Simplify right side
    78,128x = 12,237,669,376
  5. Step 5: Solve for x
    x = 12,237,669,376/78,128
  6. Step 6: Final answer
    x = 156,636.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.