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Finding the Third Proportional to 538,711 and 803,394.88

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Solution

The third proportional to 538,711 and 803,394.88 is: 1,198,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,711 : 803,394.88 = 803,394.88 : x
  2. Step 2: Convert to fraction form
    538,711/803,394.88 = 803,394.88/x
  3. Step 3: Cross multiply
    538,711x = 803,394.88 × 803,394.88
  4. Step 4: Simplify right side
    538,711x = 645,443,325,176.27
  5. Step 5: Solve for x
    x = 645,443,325,176.27/538,711
  6. Step 6: Final answer
    x = 1,198,125.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.