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Finding the Third Proportional to 84,740 and 124,480

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Solution

The third proportional to 84,740 and 124,480 is: 182,856.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,740 : 124,480 = 124,480 : x
  2. Step 2: Convert to fraction form
    84,740/124,480 = 124,480/x
  3. Step 3: Cross multiply
    84,740x = 124,480 × 124,480
  4. Step 4: Simplify right side
    84,740x = 15,495,270,400
  5. Step 5: Solve for x
    x = 15,495,270,400/84,740
  6. Step 6: Final answer
    x = 182,856.62

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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.