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Finding the Third Proportional to 311,134 and 469,557

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Solution

The third proportional to 311,134 and 469,557 is: 708,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,134 : 469,557 = 469,557 : x
  2. Step 2: Convert to fraction form
    311,134/469,557 = 469,557/x
  3. Step 3: Cross multiply
    311,134x = 469,557 × 469,557
  4. Step 4: Simplify right side
    311,134x = 220,483,776,249
  5. Step 5: Solve for x
    x = 220,483,776,249/311,134
  6. Step 6: Final answer
    x = 708,645.72

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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.