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Finding the Third Proportional to 291,602 and 372,603

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Solution

The third proportional to 291,602 and 372,603 is: 476,104.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,602 : 372,603 = 372,603 : x
  2. Step 2: Convert to fraction form
    291,602/372,603 = 372,603/x
  3. Step 3: Cross multiply
    291,602x = 372,603 × 372,603
  4. Step 4: Simplify right side
    291,602x = 138,832,995,609
  5. Step 5: Solve for x
    x = 138,832,995,609/291,602
  6. Step 6: Final answer
    x = 476,104.40

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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.