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Finding the Third Proportional to 291,708 and 372,708

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Solution

The third proportional to 291,708 and 372,708 is: 476,199.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,708 : 372,708 = 372,708 : x
  2. Step 2: Convert to fraction form
    291,708/372,708 = 372,708/x
  3. Step 3: Cross multiply
    291,708x = 372,708 × 372,708
  4. Step 4: Simplify right side
    291,708x = 138,911,253,264
  5. Step 5: Solve for x
    x = 138,911,253,264/291,708
  6. Step 6: Final answer
    x = 476,199.67

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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.