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Finding the Third Proportional to 152,862 and 220,178

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Solution

The third proportional to 152,862 and 220,178 is: 317,138.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,862 : 220,178 = 220,178 : x
  2. Step 2: Convert to fraction form
    152,862/220,178 = 220,178/x
  3. Step 3: Cross multiply
    152,862x = 220,178 × 220,178
  4. Step 4: Simplify right side
    152,862x = 48,478,351,684
  5. Step 5: Solve for x
    x = 48,478,351,684/152,862
  6. Step 6: Final answer
    x = 317,138.02

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.