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Finding the Third Proportional to 264,442 and 402,864

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Solution

The third proportional to 264,442 and 402,864 is: 613,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,442 : 402,864 = 402,864 : x
  2. Step 2: Convert to fraction form
    264,442/402,864 = 402,864/x
  3. Step 3: Cross multiply
    264,442x = 402,864 × 402,864
  4. Step 4: Simplify right side
    264,442x = 162,299,402,496
  5. Step 5: Solve for x
    x = 162,299,402,496/264,442
  6. Step 6: Final answer
    x = 613,742.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.