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Finding the Third Proportional to 474,976 and 680,376

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Solution

The third proportional to 474,976 and 680,376 is: 974,599.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,976 : 680,376 = 680,376 : x
  2. Step 2: Convert to fraction form
    474,976/680,376 = 680,376/x
  3. Step 3: Cross multiply
    474,976x = 680,376 × 680,376
  4. Step 4: Simplify right side
    474,976x = 462,911,501,376
  5. Step 5: Solve for x
    x = 462,911,501,376/474,976
  6. Step 6: Final answer
    x = 974,599.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.