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Finding the Third Proportional to 291,644 and 372,664

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Solution

The third proportional to 291,644 and 372,664 is: 476,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,644 : 372,664 = 372,664 : x
  2. Step 2: Convert to fraction form
    291,644/372,664 = 372,664/x
  3. Step 3: Cross multiply
    291,644x = 372,664 × 372,664
  4. Step 4: Simplify right side
    291,644x = 138,878,456,896
  5. Step 5: Solve for x
    x = 138,878,456,896/291,644
  6. Step 6: Final answer
    x = 476,191.72

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.