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Finding the Third Proportional to 218,060 and 328,386

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Solution

The third proportional to 218,060 and 328,386 is: 494,530.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,060 : 328,386 = 328,386 : x
  2. Step 2: Convert to fraction form
    218,060/328,386 = 328,386/x
  3. Step 3: Cross multiply
    218,060x = 328,386 × 328,386
  4. Step 4: Simplify right side
    218,060x = 107,837,364,996
  5. Step 5: Solve for x
    x = 107,837,364,996/218,060
  6. Step 6: Final answer
    x = 494,530.70

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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.