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Finding the Third Proportional to 312,239 and 736,839

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Solution

The third proportional to 312,239 and 736,839 is: 1,738,833.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,239 : 736,839 = 736,839 : x
  2. Step 2: Convert to fraction form
    312,239/736,839 = 736,839/x
  3. Step 3: Cross multiply
    312,239x = 736,839 × 736,839
  4. Step 4: Simplify right side
    312,239x = 542,931,711,921
  5. Step 5: Solve for x
    x = 542,931,711,921/312,239
  6. Step 6: Final answer
    x = 1,738,833.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.