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Finding the Third Proportional to 207,376 and 306,688

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Solution

The third proportional to 207,376 and 306,688 is: 453,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,376 : 306,688 = 306,688 : x
  2. Step 2: Convert to fraction form
    207,376/306,688 = 306,688/x
  3. Step 3: Cross multiply
    207,376x = 306,688 × 306,688
  4. Step 4: Simplify right side
    207,376x = 94,057,529,344
  5. Step 5: Solve for x
    x = 94,057,529,344/207,376
  6. Step 6: Final answer
    x = 453,560.34

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.