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Finding the Third Proportional to 138,972 and 230,011.50

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Solution

The third proportional to 138,972 and 230,011.50 is: 380,690.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,972 : 230,011.50 = 230,011.50 : x
  2. Step 2: Convert to fraction form
    138,972/230,011.50 = 230,011.50/x
  3. Step 3: Cross multiply
    138,972x = 230,011.50 × 230,011.50
  4. Step 4: Simplify right side
    138,972x = 52,905,290,132.25
  5. Step 5: Solve for x
    x = 52,905,290,132.25/138,972
  6. Step 6: Final answer
    x = 380,690.28

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.