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Finding the Third Proportional to 351,338.50 and 781,283

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Solution

The third proportional to 351,338.50 and 781,283 is: 1,737,364.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,338.50 : 781,283 = 781,283 : x
  2. Step 2: Convert to fraction form
    351,338.50/781,283 = 781,283/x
  3. Step 3: Cross multiply
    351,338.50x = 781,283 × 781,283
  4. Step 4: Simplify right side
    351,338.50x = 610,403,126,089
  5. Step 5: Solve for x
    x = 610,403,126,089/351,338.50
  6. Step 6: Final answer
    x = 1,737,364.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.