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Finding the Third Proportional to 180,865 and 265,885

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Solution

The third proportional to 180,865 and 265,885 is: 390,870.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,865 : 265,885 = 265,885 : x
  2. Step 2: Convert to fraction form
    180,865/265,885 = 265,885/x
  3. Step 3: Cross multiply
    180,865x = 265,885 × 265,885
  4. Step 4: Simplify right side
    180,865x = 70,694,833,225
  5. Step 5: Solve for x
    x = 70,694,833,225/180,865
  6. Step 6: Final answer
    x = 390,870.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.