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Finding the Third Proportional to 102,488 and 130,956

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Solution

The third proportional to 102,488 and 130,956 is: 167,331.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,488 : 130,956 = 130,956 : x
  2. Step 2: Convert to fraction form
    102,488/130,956 = 130,956/x
  3. Step 3: Cross multiply
    102,488x = 130,956 × 130,956
  4. Step 4: Simplify right side
    102,488x = 17,149,473,936
  5. Step 5: Solve for x
    x = 17,149,473,936/102,488
  6. Step 6: Final answer
    x = 167,331.53

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.