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Finding the Third Proportional to 86,570 and 130,427

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Solution

The third proportional to 86,570 and 130,427 is: 196,502.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,570 : 130,427 = 130,427 : x
  2. Step 2: Convert to fraction form
    86,570/130,427 = 130,427/x
  3. Step 3: Cross multiply
    86,570x = 130,427 × 130,427
  4. Step 4: Simplify right side
    86,570x = 17,011,202,329
  5. Step 5: Solve for x
    x = 17,011,202,329/86,570
  6. Step 6: Final answer
    x = 196,502.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.