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Finding the Third Proportional to 442,476 and 680,502

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Solution

The third proportional to 442,476 and 680,502 is: 1,046,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,476 : 680,502 = 680,502 : x
  2. Step 2: Convert to fraction form
    442,476/680,502 = 680,502/x
  3. Step 3: Cross multiply
    442,476x = 680,502 × 680,502
  4. Step 4: Simplify right side
    442,476x = 463,082,972,004
  5. Step 5: Solve for x
    x = 463,082,972,004/442,476
  6. Step 6: Final answer
    x = 1,046,571.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.