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Finding the Third Proportional to 86,628 and 129,588

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Solution

The third proportional to 86,628 and 129,588 is: 193,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,628 : 129,588 = 129,588 : x
  2. Step 2: Convert to fraction form
    86,628/129,588 = 129,588/x
  3. Step 3: Cross multiply
    86,628x = 129,588 × 129,588
  4. Step 4: Simplify right side
    86,628x = 16,793,049,744
  5. Step 5: Solve for x
    x = 16,793,049,744/86,628
  6. Step 6: Final answer
    x = 193,852.45

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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.