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Finding the Third Proportional to 55,282 and 129,953

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Solution

The third proportional to 55,282 and 129,953 is: 305,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,282 : 129,953 = 129,953 : x
  2. Step 2: Convert to fraction form
    55,282/129,953 = 129,953/x
  3. Step 3: Cross multiply
    55,282x = 129,953 × 129,953
  4. Step 4: Simplify right side
    55,282x = 16,887,782,209
  5. Step 5: Solve for x
    x = 16,887,782,209/55,282
  6. Step 6: Final answer
    x = 305,484.28

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.