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Finding the Third Proportional to 10,259.13 and 22,050.84

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Solution

The third proportional to 10,259.13 and 22,050.84 is: 47,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,259.13 : 22,050.84 = 22,050.84 : x
  2. Step 2: Convert to fraction form
    10,259.13/22,050.84 = 22,050.84/x
  3. Step 3: Cross multiply
    10,259.13x = 22,050.84 × 22,050.84
  4. Step 4: Simplify right side
    10,259.13x = 486,239,710.09
  5. Step 5: Solve for x
    x = 486,239,710.09/10,259.13
  6. Step 6: Final answer
    x = 47,395.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.