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Finding the Third Proportional to 290,553 and 632,571

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Solution

The third proportional to 290,553 and 632,571 is: 1,377,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,553 : 632,571 = 632,571 : x
  2. Step 2: Convert to fraction form
    290,553/632,571 = 632,571/x
  3. Step 3: Cross multiply
    290,553x = 632,571 × 632,571
  4. Step 4: Simplify right side
    290,553x = 400,146,070,041
  5. Step 5: Solve for x
    x = 400,146,070,041/290,553
  6. Step 6: Final answer
    x = 1,377,187.88

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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.