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Finding the Third Proportional to 153,318 and 211,122

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Solution

The third proportional to 153,318 and 211,122 is: 290,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,318 : 211,122 = 211,122 : x
  2. Step 2: Convert to fraction form
    153,318/211,122 = 211,122/x
  3. Step 3: Cross multiply
    153,318x = 211,122 × 211,122
  4. Step 4: Simplify right side
    153,318x = 44,572,498,884
  5. Step 5: Solve for x
    x = 44,572,498,884/153,318
  6. Step 6: Final answer
    x = 290,719.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.