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Finding the Third Proportional to 155,822 and 334,921

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Solution

The third proportional to 155,822 and 334,921 is: 719,873.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,822 : 334,921 = 334,921 : x
  2. Step 2: Convert to fraction form
    155,822/334,921 = 334,921/x
  3. Step 3: Cross multiply
    155,822x = 334,921 × 334,921
  4. Step 4: Simplify right side
    155,822x = 112,172,076,241
  5. Step 5: Solve for x
    x = 112,172,076,241/155,822
  6. Step 6: Final answer
    x = 719,873.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.