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Finding the Third Proportional to 290,980 and 437,552

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Solution

The third proportional to 290,980 and 437,552 is: 657,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,980 : 437,552 = 437,552 : x
  2. Step 2: Convert to fraction form
    290,980/437,552 = 437,552/x
  3. Step 3: Cross multiply
    290,980x = 437,552 × 437,552
  4. Step 4: Simplify right side
    290,980x = 191,451,752,704
  5. Step 5: Solve for x
    x = 191,451,752,704/290,980
  6. Step 6: Final answer
    x = 657,955.02

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