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Finding the Third Proportional to 321,281 and 705,622.75

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Solution

The third proportional to 321,281 and 705,622.75 is: 1,549,744.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,281 : 705,622.75 = 705,622.75 : x
  2. Step 2: Convert to fraction form
    321,281/705,622.75 = 705,622.75/x
  3. Step 3: Cross multiply
    321,281x = 705,622.75 × 705,622.75
  4. Step 4: Simplify right side
    321,281x = 497,903,465,317.56
  5. Step 5: Solve for x
    x = 497,903,465,317.56/321,281
  6. Step 6: Final answer
    x = 1,549,744.51

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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.