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Finding the Third Proportional to 311,769 and 469,881

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Solution

The third proportional to 311,769 and 469,881 is: 708,178.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,769 : 469,881 = 469,881 : x
  2. Step 2: Convert to fraction form
    311,769/469,881 = 469,881/x
  3. Step 3: Cross multiply
    311,769x = 469,881 × 469,881
  4. Step 4: Simplify right side
    311,769x = 220,788,154,161
  5. Step 5: Solve for x
    x = 220,788,154,161/311,769
  6. Step 6: Final answer
    x = 708,178.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.