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Finding the Third Proportional to 180,068 and 387,459

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Solution

The third proportional to 180,068 and 387,459 is: 833,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,068 : 387,459 = 387,459 : x
  2. Step 2: Convert to fraction form
    180,068/387,459 = 387,459/x
  3. Step 3: Cross multiply
    180,068x = 387,459 × 387,459
  4. Step 4: Simplify right side
    180,068x = 150,124,476,681
  5. Step 5: Solve for x
    x = 150,124,476,681/180,068
  6. Step 6: Final answer
    x = 833,709.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.