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Finding the Third Proportional to 93,890 and 128,739

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Solution

The third proportional to 93,890 and 128,739 is: 176,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,890 : 128,739 = 128,739 : x
  2. Step 2: Convert to fraction form
    93,890/128,739 = 128,739/x
  3. Step 3: Cross multiply
    93,890x = 128,739 × 128,739
  4. Step 4: Simplify right side
    93,890x = 16,573,730,121
  5. Step 5: Solve for x
    x = 16,573,730,121/93,890
  6. Step 6: Final answer
    x = 176,522.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.