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Finding the Third Proportional to 86,607 and 129,564

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Solution

The third proportional to 86,607 and 129,564 is: 193,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,607 : 129,564 = 129,564 : x
  2. Step 2: Convert to fraction form
    86,607/129,564 = 129,564/x
  3. Step 3: Cross multiply
    86,607x = 129,564 × 129,564
  4. Step 4: Simplify right side
    86,607x = 16,786,830,096
  5. Step 5: Solve for x
    x = 16,786,830,096/86,607
  6. Step 6: Final answer
    x = 193,827.64

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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.