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Finding the Third Proportional to 152,158 and 220,416

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Solution

The third proportional to 152,158 and 220,416 is: 319,294.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,158 : 220,416 = 220,416 : x
  2. Step 2: Convert to fraction form
    152,158/220,416 = 220,416/x
  3. Step 3: Cross multiply
    152,158x = 220,416 × 220,416
  4. Step 4: Simplify right side
    152,158x = 48,583,213,056
  5. Step 5: Solve for x
    x = 48,583,213,056/152,158
  6. Step 6: Final answer
    x = 319,294.50

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.