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Finding the Third Proportional to 288,060.75 and 436,069.13

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Solution

The third proportional to 288,060.75 and 436,069.13 is: 660,125.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,060.75 : 436,069.13 = 436,069.13 : x
  2. Step 2: Convert to fraction form
    288,060.75/436,069.13 = 436,069.13/x
  3. Step 3: Cross multiply
    288,060.75x = 436,069.13 × 436,069.13
  4. Step 4: Simplify right side
    288,060.75x = 190,156,281,778.27
  5. Step 5: Solve for x
    x = 190,156,281,778.27/288,060.75
  6. Step 6: Final answer
    x = 660,125.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.