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Finding the Third Proportional to 86,532 and 187,752

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Solution

The third proportional to 86,532 and 187,752 is: 407,373.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,532 : 187,752 = 187,752 : x
  2. Step 2: Convert to fraction form
    86,532/187,752 = 187,752/x
  3. Step 3: Cross multiply
    86,532x = 187,752 × 187,752
  4. Step 4: Simplify right side
    86,532x = 35,250,813,504
  5. Step 5: Solve for x
    x = 35,250,813,504/86,532
  6. Step 6: Final answer
    x = 407,373.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.