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Finding the Third Proportional to 172,423.50 and 258,874.50

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Solution

The third proportional to 172,423.50 and 258,874.50 is: 388,670.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,423.50 : 258,874.50 = 258,874.50 : x
  2. Step 2: Convert to fraction form
    172,423.50/258,874.50 = 258,874.50/x
  3. Step 3: Cross multiply
    172,423.50x = 258,874.50 × 258,874.50
  4. Step 4: Simplify right side
    172,423.50x = 67,016,006,750.25
  5. Step 5: Solve for x
    x = 67,016,006,750.25/172,423.50
  6. Step 6: Final answer
    x = 388,670.96

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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.