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Finding the Third Proportional to 272,068 and 422,310

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Solution

The third proportional to 272,068 and 422,310 is: 655,518.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,068 : 422,310 = 422,310 : x
  2. Step 2: Convert to fraction form
    272,068/422,310 = 422,310/x
  3. Step 3: Cross multiply
    272,068x = 422,310 × 422,310
  4. Step 4: Simplify right side
    272,068x = 178,345,736,100
  5. Step 5: Solve for x
    x = 178,345,736,100/272,068
  6. Step 6: Final answer
    x = 655,518.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.