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Finding the Third Proportional to 86,722 and 129,724

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Solution

The third proportional to 86,722 and 129,724 is: 194,048.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,722 : 129,724 = 129,724 : x
  2. Step 2: Convert to fraction form
    86,722/129,724 = 129,724/x
  3. Step 3: Cross multiply
    86,722x = 129,724 × 129,724
  4. Step 4: Simplify right side
    86,722x = 16,828,316,176
  5. Step 5: Solve for x
    x = 16,828,316,176/86,722
  6. Step 6: Final answer
    x = 194,048.99

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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.