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Finding the Third Proportional to 174,672 and 378,720

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Solution

The third proportional to 174,672 and 378,720 is: 821,132.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,672 : 378,720 = 378,720 : x
  2. Step 2: Convert to fraction form
    174,672/378,720 = 378,720/x
  3. Step 3: Cross multiply
    174,672x = 378,720 × 378,720
  4. Step 4: Simplify right side
    174,672x = 143,428,838,400
  5. Step 5: Solve for x
    x = 143,428,838,400/174,672
  6. Step 6: Final answer
    x = 821,132.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.