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Finding the Third Proportional to 390,994.59 and 856,723.08

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Solution

The third proportional to 390,994.59 and 856,723.08 is: 1,877,198.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,994.59 : 856,723.08 = 856,723.08 : x
  2. Step 2: Convert to fraction form
    390,994.59/856,723.08 = 856,723.08/x
  3. Step 3: Cross multiply
    390,994.59x = 856,723.08 × 856,723.08
  4. Step 4: Simplify right side
    390,994.59x = 733,974,432,591.98
  5. Step 5: Solve for x
    x = 733,974,432,591.98/390,994.59
  6. Step 6: Final answer
    x = 1,877,198.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.