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Finding the Third Proportional to 64,822 and 141,677

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Solution

The third proportional to 64,822 and 141,677 is: 309,653.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,822 : 141,677 = 141,677 : x
  2. Step 2: Convert to fraction form
    64,822/141,677 = 141,677/x
  3. Step 3: Cross multiply
    64,822x = 141,677 × 141,677
  4. Step 4: Simplify right side
    64,822x = 20,072,372,329
  5. Step 5: Solve for x
    x = 20,072,372,329/64,822
  6. Step 6: Final answer
    x = 309,653.70

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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.