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Finding the Third Proportional to 57,139.17 and 87,159.16

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Solution

The third proportional to 57,139.17 and 87,159.16 is: 132,951.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139.17 : 87,159.16 = 87,159.16 : x
  2. Step 2: Convert to fraction form
    57,139.17/87,159.16 = 87,159.16/x
  3. Step 3: Cross multiply
    57,139.17x = 87,159.16 × 87,159.16
  4. Step 4: Simplify right side
    57,139.17x = 7,596,719,880.07
  5. Step 5: Solve for x
    x = 7,596,719,880.07/57,139.17
  6. Step 6: Final answer
    x = 132,951.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.