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Finding the Third Proportional to 318,487.57 and 446,429.92

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Solution

The third proportional to 318,487.57 and 446,429.92 is: 625,769.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,487.57 : 446,429.92 = 446,429.92 : x
  2. Step 2: Convert to fraction form
    318,487.57/446,429.92 = 446,429.92/x
  3. Step 3: Cross multiply
    318,487.57x = 446,429.92 × 446,429.92
  4. Step 4: Simplify right side
    318,487.57x = 199,299,671,657.59
  5. Step 5: Solve for x
    x = 199,299,671,657.59/318,487.57
  6. Step 6: Final answer
    x = 625,769.07

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.