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Finding the Third Proportional to 291,780 and 437,958

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Solution

The third proportional to 291,780 and 437,958 is: 657,369.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,780 : 437,958 = 437,958 : x
  2. Step 2: Convert to fraction form
    291,780/437,958 = 437,958/x
  3. Step 3: Cross multiply
    291,780x = 437,958 × 437,958
  4. Step 4: Simplify right side
    291,780x = 191,807,209,764
  5. Step 5: Solve for x
    x = 191,807,209,764/291,780
  6. Step 6: Final answer
    x = 657,369.28

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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.