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Finding the Third Proportional to 70,209 and 152,325

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Solution

The third proportional to 70,209 and 152,325 is: 330,483.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,209 : 152,325 = 152,325 : x
  2. Step 2: Convert to fraction form
    70,209/152,325 = 152,325/x
  3. Step 3: Cross multiply
    70,209x = 152,325 × 152,325
  4. Step 4: Simplify right side
    70,209x = 23,202,905,625
  5. Step 5: Solve for x
    x = 23,202,905,625/70,209
  6. Step 6: Final answer
    x = 330,483.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.