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Finding the Third Proportional to 288,034.50 and 387,751.50

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Solution

The third proportional to 288,034.50 and 387,751.50 is: 521,990.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,034.50 : 387,751.50 = 387,751.50 : x
  2. Step 2: Convert to fraction form
    288,034.50/387,751.50 = 387,751.50/x
  3. Step 3: Cross multiply
    288,034.50x = 387,751.50 × 387,751.50
  4. Step 4: Simplify right side
    288,034.50x = 150,351,225,752.25
  5. Step 5: Solve for x
    x = 150,351,225,752.25/288,034.50
  6. Step 6: Final answer
    x = 521,990.34

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.