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Finding the Third Proportional to 327,640 and 719,522

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Solution

The third proportional to 327,640 and 719,522 is: 1,580,124.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,640 : 719,522 = 719,522 : x
  2. Step 2: Convert to fraction form
    327,640/719,522 = 719,522/x
  3. Step 3: Cross multiply
    327,640x = 719,522 × 719,522
  4. Step 4: Simplify right side
    327,640x = 517,711,908,484
  5. Step 5: Solve for x
    x = 517,711,908,484/327,640
  6. Step 6: Final answer
    x = 1,580,124.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.