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Finding the Third Proportional to 62,512 and 84,840

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Solution

The third proportional to 62,512 and 84,840 is: 115,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,512 : 84,840 = 84,840 : x
  2. Step 2: Convert to fraction form
    62,512/84,840 = 84,840/x
  3. Step 3: Cross multiply
    62,512x = 84,840 × 84,840
  4. Step 4: Simplify right side
    62,512x = 7,197,825,600
  5. Step 5: Solve for x
    x = 7,197,825,600/62,512
  6. Step 6: Final answer
    x = 115,143.10

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.