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Finding the Third Proportional to 291,020 and 437,612

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Solution

The third proportional to 291,020 and 437,612 is: 658,045.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,020 : 437,612 = 437,612 : x
  2. Step 2: Convert to fraction form
    291,020/437,612 = 437,612/x
  3. Step 3: Cross multiply
    291,020x = 437,612 × 437,612
  4. Step 4: Simplify right side
    291,020x = 191,504,262,544
  5. Step 5: Solve for x
    x = 191,504,262,544/291,020
  6. Step 6: Final answer
    x = 658,045.02

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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.