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Finding the Third Proportional to 357,192 and 540,380

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Solution

The third proportional to 357,192 and 540,380 is: 817,517.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,192 : 540,380 = 540,380 : x
  2. Step 2: Convert to fraction form
    357,192/540,380 = 540,380/x
  3. Step 3: Cross multiply
    357,192x = 540,380 × 540,380
  4. Step 4: Simplify right side
    357,192x = 292,010,544,400
  5. Step 5: Solve for x
    x = 292,010,544,400/357,192
  6. Step 6: Final answer
    x = 817,517.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.