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Finding the Third Proportional to 178,557 and 287,088

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Solution

The third proportional to 178,557 and 287,088 is: 461,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,557 : 287,088 = 287,088 : x
  2. Step 2: Convert to fraction form
    178,557/287,088 = 287,088/x
  3. Step 3: Cross multiply
    178,557x = 287,088 × 287,088
  4. Step 4: Simplify right side
    178,557x = 82,419,519,744
  5. Step 5: Solve for x
    x = 82,419,519,744/178,557
  6. Step 6: Final answer
    x = 461,586.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.