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Finding the Third Proportional to 84,403 and 130,648

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Solution

The third proportional to 84,403 and 130,648 is: 202,230.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,403 : 130,648 = 130,648 : x
  2. Step 2: Convert to fraction form
    84,403/130,648 = 130,648/x
  3. Step 3: Cross multiply
    84,403x = 130,648 × 130,648
  4. Step 4: Simplify right side
    84,403x = 17,068,899,904
  5. Step 5: Solve for x
    x = 17,068,899,904/84,403
  6. Step 6: Final answer
    x = 202,230.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.