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Finding the Third Proportional to 343,414.69 and 745,912.55

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Solution

The third proportional to 343,414.69 and 745,912.55 is: 1,620,156.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,414.69 : 745,912.55 = 745,912.55 : x
  2. Step 2: Convert to fraction form
    343,414.69/745,912.55 = 745,912.55/x
  3. Step 3: Cross multiply
    343,414.69x = 745,912.55 × 745,912.55
  4. Step 4: Simplify right side
    343,414.69x = 556,385,527,585.55
  5. Step 5: Solve for x
    x = 556,385,527,585.55/343,414.69
  6. Step 6: Final answer
    x = 1,620,156.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.