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Finding the Third Proportional to 140,794.50 and 306,376

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Solution

The third proportional to 140,794.50 and 306,376 is: 666,689.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,794.50 : 306,376 = 306,376 : x
  2. Step 2: Convert to fraction form
    140,794.50/306,376 = 306,376/x
  3. Step 3: Cross multiply
    140,794.50x = 306,376 × 306,376
  4. Step 4: Simplify right side
    140,794.50x = 93,866,253,376
  5. Step 5: Solve for x
    x = 93,866,253,376/140,794.50
  6. Step 6: Final answer
    x = 666,689.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.