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Finding the Third Proportional to 202,560 and 439,680

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Solution

The third proportional to 202,560 and 439,680 is: 954,376.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,560 : 439,680 = 439,680 : x
  2. Step 2: Convert to fraction form
    202,560/439,680 = 439,680/x
  3. Step 3: Cross multiply
    202,560x = 439,680 × 439,680
  4. Step 4: Simplify right side
    202,560x = 193,318,502,400
  5. Step 5: Solve for x
    x = 193,318,502,400/202,560
  6. Step 6: Final answer
    x = 954,376.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.