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Finding the Third Proportional to 311,464.75 and 666,117

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Solution

The third proportional to 311,464.75 and 666,117 is: 1,424,597.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,464.75 : 666,117 = 666,117 : x
  2. Step 2: Convert to fraction form
    311,464.75/666,117 = 666,117/x
  3. Step 3: Cross multiply
    311,464.75x = 666,117 × 666,117
  4. Step 4: Simplify right side
    311,464.75x = 443,711,857,689
  5. Step 5: Solve for x
    x = 443,711,857,689/311,464.75
  6. Step 6: Final answer
    x = 1,424,597.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.