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Finding the Third Proportional to 317,739 and 469,215

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Solution

The third proportional to 317,739 and 469,215 is: 692,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,739 : 469,215 = 469,215 : x
  2. Step 2: Convert to fraction form
    317,739/469,215 = 469,215/x
  3. Step 3: Cross multiply
    317,739x = 469,215 × 469,215
  4. Step 4: Simplify right side
    317,739x = 220,162,716,225
  5. Step 5: Solve for x
    x = 220,162,716,225/317,739
  6. Step 6: Final answer
    x = 692,904.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.