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Finding the Third Proportional to 274,360 and 391,582

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Solution

The third proportional to 274,360 and 391,582 is: 558,887.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,360 : 391,582 = 391,582 : x
  2. Step 2: Convert to fraction form
    274,360/391,582 = 391,582/x
  3. Step 3: Cross multiply
    274,360x = 391,582 × 391,582
  4. Step 4: Simplify right side
    274,360x = 153,336,462,724
  5. Step 5: Solve for x
    x = 153,336,462,724/274,360
  6. Step 6: Final answer
    x = 558,887.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.