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Finding the Third Proportional to 474,980 and 680,382

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Solution

The third proportional to 474,980 and 680,382 is: 974,608.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,980 : 680,382 = 680,382 : x
  2. Step 2: Convert to fraction form
    474,980/680,382 = 680,382/x
  3. Step 3: Cross multiply
    474,980x = 680,382 × 680,382
  4. Step 4: Simplify right side
    474,980x = 462,919,665,924
  5. Step 5: Solve for x
    x = 462,919,665,924/474,980
  6. Step 6: Final answer
    x = 974,608.75

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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.