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Finding the Third Proportional to 291,712 and 372,714

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Solution

The third proportional to 291,712 and 372,714 is: 476,208.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,712 : 372,714 = 372,714 : x
  2. Step 2: Convert to fraction form
    291,712/372,714 = 372,714/x
  3. Step 3: Cross multiply
    291,712x = 372,714 × 372,714
  4. Step 4: Simplify right side
    291,712x = 138,915,725,796
  5. Step 5: Solve for x
    x = 138,915,725,796/291,712
  6. Step 6: Final answer
    x = 476,208.47

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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.