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Finding the Third Proportional to 155,842 and 220,515

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Solution

The third proportional to 155,842 and 220,515 is: 312,026.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,842 : 220,515 = 220,515 : x
  2. Step 2: Convert to fraction form
    155,842/220,515 = 220,515/x
  3. Step 3: Cross multiply
    155,842x = 220,515 × 220,515
  4. Step 4: Simplify right side
    155,842x = 48,626,865,225
  5. Step 5: Solve for x
    x = 48,626,865,225/155,842
  6. Step 6: Final answer
    x = 312,026.70

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.