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Finding the Third Proportional to 81,748 and 130,155

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Solution

The third proportional to 81,748 and 130,155 is: 207,226.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,748 : 130,155 = 130,155 : x
  2. Step 2: Convert to fraction form
    81,748/130,155 = 130,155/x
  3. Step 3: Cross multiply
    81,748x = 130,155 × 130,155
  4. Step 4: Simplify right side
    81,748x = 16,940,324,025
  5. Step 5: Solve for x
    x = 16,940,324,025/81,748
  6. Step 6: Final answer
    x = 207,226.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.