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Finding the Third Proportional to 264,418 and 402,822

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Solution

The third proportional to 264,418 and 402,822 is: 613,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,418 : 402,822 = 402,822 : x
  2. Step 2: Convert to fraction form
    264,418/402,822 = 402,822/x
  3. Step 3: Cross multiply
    264,418x = 402,822 × 402,822
  4. Step 4: Simplify right side
    264,418x = 162,265,563,684
  5. Step 5: Solve for x
    x = 162,265,563,684/264,418
  6. Step 6: Final answer
    x = 613,670.64

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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.