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Finding the Third Proportional to 180,070 and 387,463

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Solution

The third proportional to 180,070 and 387,463 is: 833,717.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,070 : 387,463 = 387,463 : x
  2. Step 2: Convert to fraction form
    180,070/387,463 = 387,463/x
  3. Step 3: Cross multiply
    180,070x = 387,463 × 387,463
  4. Step 4: Simplify right side
    180,070x = 150,127,576,369
  5. Step 5: Solve for x
    x = 150,127,576,369/180,070
  6. Step 6: Final answer
    x = 833,717.87

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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.