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Finding the Third Proportional to 173,140 and 378,320

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Solution

The third proportional to 173,140 and 378,320 is: 826,649.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,140 : 378,320 = 378,320 : x
  2. Step 2: Convert to fraction form
    173,140/378,320 = 378,320/x
  3. Step 3: Cross multiply
    173,140x = 378,320 × 378,320
  4. Step 4: Simplify right side
    173,140x = 143,126,022,400
  5. Step 5: Solve for x
    x = 143,126,022,400/173,140
  6. Step 6: Final answer
    x = 826,649.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.