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Finding the Third Proportional to 80,430 and 174,702

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Solution

The third proportional to 80,430 and 174,702 is: 379,470.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,430 : 174,702 = 174,702 : x
  2. Step 2: Convert to fraction form
    80,430/174,702 = 174,702/x
  3. Step 3: Cross multiply
    80,430x = 174,702 × 174,702
  4. Step 4: Simplify right side
    80,430x = 30,520,788,804
  5. Step 5: Solve for x
    x = 30,520,788,804/80,430
  6. Step 6: Final answer
    x = 379,470.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.