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Finding the Third Proportional to 70,881.75 and 136,567.69

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Solution

The third proportional to 70,881.75 and 136,567.69 is: 263,124.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,881.75 : 136,567.69 = 136,567.69 : x
  2. Step 2: Convert to fraction form
    70,881.75/136,567.69 = 136,567.69/x
  3. Step 3: Cross multiply
    70,881.75x = 136,567.69 × 136,567.69
  4. Step 4: Simplify right side
    70,881.75x = 18,650,733,269.10
  5. Step 5: Solve for x
    x = 18,650,733,269.10/70,881.75
  6. Step 6: Final answer
    x = 263,124.62

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.