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Finding the Third Proportional to 152,288 and 219,352

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Solution

The third proportional to 152,288 and 219,352 is: 315,949.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,288 : 219,352 = 219,352 : x
  2. Step 2: Convert to fraction form
    152,288/219,352 = 219,352/x
  3. Step 3: Cross multiply
    152,288x = 219,352 × 219,352
  4. Step 4: Simplify right side
    152,288x = 48,115,299,904
  5. Step 5: Solve for x
    x = 48,115,299,904/152,288
  6. Step 6: Final answer
    x = 315,949.38

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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.