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Finding the Third Proportional to 87,021 and 130,207.50

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Solution

The third proportional to 87,021 and 130,207.50 is: 194,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,021 : 130,207.50 = 130,207.50 : x
  2. Step 2: Convert to fraction form
    87,021/130,207.50 = 130,207.50/x
  3. Step 3: Cross multiply
    87,021x = 130,207.50 × 130,207.50
  4. Step 4: Simplify right side
    87,021x = 16,953,993,056.25
  5. Step 5: Solve for x
    x = 16,953,993,056.25/87,021
  6. Step 6: Final answer
    x = 194,826.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.