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Finding the Third Proportional to 86,780 and 130,908

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Solution

The third proportional to 86,780 and 130,908 is: 197,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,780 : 130,908 = 130,908 : x
  2. Step 2: Convert to fraction form
    86,780/130,908 = 130,908/x
  3. Step 3: Cross multiply
    86,780x = 130,908 × 130,908
  4. Step 4: Simplify right side
    86,780x = 17,136,904,464
  5. Step 5: Solve for x
    x = 17,136,904,464/86,780
  6. Step 6: Final answer
    x = 197,475.28

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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.