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Finding the Third Proportional to 52,856.13 and 110,902.13

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Solution

The third proportional to 52,856.13 and 110,902.13 is: 232,693.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,856.13 : 110,902.13 = 110,902.13 : x
  2. Step 2: Convert to fraction form
    52,856.13/110,902.13 = 110,902.13/x
  3. Step 3: Cross multiply
    52,856.13x = 110,902.13 × 110,902.13
  4. Step 4: Simplify right side
    52,856.13x = 12,299,281,329.52
  5. Step 5: Solve for x
    x = 12,299,281,329.52/52,856.13
  6. Step 6: Final answer
    x = 232,693.59

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.