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Finding the Third Proportional to 165,572 and 256,315

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Solution

The third proportional to 165,572 and 256,315 is: 396,790.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,572 : 256,315 = 256,315 : x
  2. Step 2: Convert to fraction form
    165,572/256,315 = 256,315/x
  3. Step 3: Cross multiply
    165,572x = 256,315 × 256,315
  4. Step 4: Simplify right side
    165,572x = 65,697,379,225
  5. Step 5: Solve for x
    x = 65,697,379,225/165,572
  6. Step 6: Final answer
    x = 396,790.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.