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Finding the Third Proportional to 290,982 and 437,555

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Solution

The third proportional to 290,982 and 437,555 is: 657,959.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,982 : 437,555 = 437,555 : x
  2. Step 2: Convert to fraction form
    290,982/437,555 = 437,555/x
  3. Step 3: Cross multiply
    290,982x = 437,555 × 437,555
  4. Step 4: Simplify right side
    290,982x = 191,454,378,025
  5. Step 5: Solve for x
    x = 191,454,378,025/290,982
  6. Step 6: Final answer
    x = 657,959.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.