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Finding the Third Proportional to 288,628.31 and 452,769.19

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Solution

The third proportional to 288,628.31 and 452,769.19 is: 710,255.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,628.31 : 452,769.19 = 452,769.19 : x
  2. Step 2: Convert to fraction form
    288,628.31/452,769.19 = 452,769.19/x
  3. Step 3: Cross multiply
    288,628.31x = 452,769.19 × 452,769.19
  4. Step 4: Simplify right side
    288,628.31x = 204,999,937,149.41
  5. Step 5: Solve for x
    x = 204,999,937,149.41/288,628.31
  6. Step 6: Final answer
    x = 710,255.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.