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Finding the Third Proportional to 311,866 and 656,332

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Solution

The third proportional to 311,866 and 656,332 is: 1,381,271.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,866 : 656,332 = 656,332 : x
  2. Step 2: Convert to fraction form
    311,866/656,332 = 656,332/x
  3. Step 3: Cross multiply
    311,866x = 656,332 × 656,332
  4. Step 4: Simplify right side
    311,866x = 430,771,694,224
  5. Step 5: Solve for x
    x = 430,771,694,224/311,866
  6. Step 6: Final answer
    x = 1,381,271.75

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.