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Finding the Third Proportional to 87,901 and 130,207.50

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Solution

The third proportional to 87,901 and 130,207.50 is: 192,876.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,901 : 130,207.50 = 130,207.50 : x
  2. Step 2: Convert to fraction form
    87,901/130,207.50 = 130,207.50/x
  3. Step 3: Cross multiply
    87,901x = 130,207.50 × 130,207.50
  4. Step 4: Simplify right side
    87,901x = 16,953,993,056.25
  5. Step 5: Solve for x
    x = 16,953,993,056.25/87,901
  6. Step 6: Final answer
    x = 192,876.00

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.