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Finding the Third Proportional to 358,272 and 541,440

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Solution

The third proportional to 358,272 and 541,440 is: 818,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,272 : 541,440 = 541,440 : x
  2. Step 2: Convert to fraction form
    358,272/541,440 = 541,440/x
  3. Step 3: Cross multiply
    358,272x = 541,440 × 541,440
  4. Step 4: Simplify right side
    358,272x = 293,157,273,600
  5. Step 5: Solve for x
    x = 293,157,273,600/358,272
  6. Step 6: Final answer
    x = 818,253.38

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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.