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Finding the Third Proportional to 327,816 and 506,280

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Solution

The third proportional to 327,816 and 506,280 is: 781,900.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,816 : 506,280 = 506,280 : x
  2. Step 2: Convert to fraction form
    327,816/506,280 = 506,280/x
  3. Step 3: Cross multiply
    327,816x = 506,280 × 506,280
  4. Step 4: Simplify right side
    327,816x = 256,319,438,400
  5. Step 5: Solve for x
    x = 256,319,438,400/327,816
  6. Step 6: Final answer
    x = 781,900.33

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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.