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Finding the Third Proportional to 172,560 and 378,360

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Solution

The third proportional to 172,560 and 378,360 is: 829,602.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,560 : 378,360 = 378,360 : x
  2. Step 2: Convert to fraction form
    172,560/378,360 = 378,360/x
  3. Step 3: Cross multiply
    172,560x = 378,360 × 378,360
  4. Step 4: Simplify right side
    172,560x = 143,156,289,600
  5. Step 5: Solve for x
    x = 143,156,289,600/172,560
  6. Step 6: Final answer
    x = 829,602.98

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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.