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Finding the Third Proportional to 70,646.25 and 99,009.75

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Solution

The third proportional to 70,646.25 and 99,009.75 is: 138,760.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,646.25 : 99,009.75 = 99,009.75 : x
  2. Step 2: Convert to fraction form
    70,646.25/99,009.75 = 99,009.75/x
  3. Step 3: Cross multiply
    70,646.25x = 99,009.75 × 99,009.75
  4. Step 4: Simplify right side
    70,646.25x = 9,802,930,595.06
  5. Step 5: Solve for x
    x = 9,802,930,595.06/70,646.25
  6. Step 6: Final answer
    x = 138,760.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.