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Finding the Third Proportional to 402,279 and 881,366

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Solution

The third proportional to 402,279 and 881,366 is: 1,931,013.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,279 : 881,366 = 881,366 : x
  2. Step 2: Convert to fraction form
    402,279/881,366 = 881,366/x
  3. Step 3: Cross multiply
    402,279x = 881,366 × 881,366
  4. Step 4: Simplify right side
    402,279x = 776,806,025,956
  5. Step 5: Solve for x
    x = 776,806,025,956/402,279
  6. Step 6: Final answer
    x = 1,931,013.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.