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Finding the Third Proportional to 386,329.50 and 828,711

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Solution

The third proportional to 386,329.50 and 828,711 is: 1,777,658.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,329.50 : 828,711 = 828,711 : x
  2. Step 2: Convert to fraction form
    386,329.50/828,711 = 828,711/x
  3. Step 3: Cross multiply
    386,329.50x = 828,711 × 828,711
  4. Step 4: Simplify right side
    386,329.50x = 686,761,921,521
  5. Step 5: Solve for x
    x = 686,761,921,521/386,329.50
  6. Step 6: Final answer
    x = 1,777,658.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.