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Finding the Third Proportional to 153,215 and 253,211

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Solution

The third proportional to 153,215 and 253,211 is: 418,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,215 : 253,211 = 253,211 : x
  2. Step 2: Convert to fraction form
    153,215/253,211 = 253,211/x
  3. Step 3: Cross multiply
    153,215x = 253,211 × 253,211
  4. Step 4: Simplify right side
    153,215x = 64,115,810,521
  5. Step 5: Solve for x
    x = 64,115,810,521/153,215
  6. Step 6: Final answer
    x = 418,469.54

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.