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Finding the Third Proportional to 437,475 and 665,061

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Solution

The third proportional to 437,475 and 665,061 is: 1,011,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,475 : 665,061 = 665,061 : x
  2. Step 2: Convert to fraction form
    437,475/665,061 = 665,061/x
  3. Step 3: Cross multiply
    437,475x = 665,061 × 665,061
  4. Step 4: Simplify right side
    437,475x = 442,306,133,721
  5. Step 5: Solve for x
    x = 442,306,133,721/437,475
  6. Step 6: Final answer
    x = 1,011,043.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.