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Finding the Third Proportional to 677,595.38 and 990,937.13

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Solution

The third proportional to 677,595.38 and 990,937.13 is: 1,449,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,595.38 : 990,937.13 = 990,937.13 : x
  2. Step 2: Convert to fraction form
    677,595.38/990,937.13 = 990,937.13/x
  3. Step 3: Cross multiply
    677,595.38x = 990,937.13 × 990,937.13
  4. Step 4: Simplify right side
    677,595.38x = 981,956,385,703.27
  5. Step 5: Solve for x
    x = 981,956,385,703.27/677,595.38
  6. Step 6: Final answer
    x = 1,449,178.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.