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Finding the Third Proportional to 288,407 and 621,189

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Solution

The third proportional to 288,407 and 621,189 is: 1,337,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,407 : 621,189 = 621,189 : x
  2. Step 2: Convert to fraction form
    288,407/621,189 = 621,189/x
  3. Step 3: Cross multiply
    288,407x = 621,189 × 621,189
  4. Step 4: Simplify right side
    288,407x = 385,875,773,721
  5. Step 5: Solve for x
    x = 385,875,773,721/288,407
  6. Step 6: Final answer
    x = 1,337,955.65

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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.