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Finding the Third Proportional to 86,416 and 178,988

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Solution

The third proportional to 86,416 and 178,988 is: 370,726.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,416 : 178,988 = 178,988 : x
  2. Step 2: Convert to fraction form
    86,416/178,988 = 178,988/x
  3. Step 3: Cross multiply
    86,416x = 178,988 × 178,988
  4. Step 4: Simplify right side
    86,416x = 32,036,704,144
  5. Step 5: Solve for x
    x = 32,036,704,144/86,416
  6. Step 6: Final answer
    x = 370,726.53

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.