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Finding the Third Proportional to 310,882 and 480,068

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Solution

The third proportional to 310,882 and 480,068 is: 741,327.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,882 : 480,068 = 480,068 : x
  2. Step 2: Convert to fraction form
    310,882/480,068 = 480,068/x
  3. Step 3: Cross multiply
    310,882x = 480,068 × 480,068
  4. Step 4: Simplify right side
    310,882x = 230,465,284,624
  5. Step 5: Solve for x
    x = 230,465,284,624/310,882
  6. Step 6: Final answer
    x = 741,327.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.