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Finding the Third Proportional to 321,306.75 and 705,678.75

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Solution

The third proportional to 321,306.75 and 705,678.75 is: 1,549,866.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,306.75 : 705,678.75 = 705,678.75 : x
  2. Step 2: Convert to fraction form
    321,306.75/705,678.75 = 705,678.75/x
  3. Step 3: Cross multiply
    321,306.75x = 705,678.75 × 705,678.75
  4. Step 4: Simplify right side
    321,306.75x = 497,982,498,201.56
  5. Step 5: Solve for x
    x = 497,982,498,201.56/321,306.75
  6. Step 6: Final answer
    x = 1,549,866.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.