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Finding the Third Proportional to 72,306 and 111,207.75

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Solution

The third proportional to 72,306 and 111,207.75 is: 171,039.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,306 : 111,207.75 = 111,207.75 : x
  2. Step 2: Convert to fraction form
    72,306/111,207.75 = 111,207.75/x
  3. Step 3: Cross multiply
    72,306x = 111,207.75 × 111,207.75
  4. Step 4: Simplify right side
    72,306x = 12,367,163,660.06
  5. Step 5: Solve for x
    x = 12,367,163,660.06/72,306
  6. Step 6: Final answer
    x = 171,039.25

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.