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Finding the Third Proportional to 81,360 and 175,207.50

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Solution

The third proportional to 81,360 and 175,207.50 is: 377,306.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,360 : 175,207.50 = 175,207.50 : x
  2. Step 2: Convert to fraction form
    81,360/175,207.50 = 175,207.50/x
  3. Step 3: Cross multiply
    81,360x = 175,207.50 × 175,207.50
  4. Step 4: Simplify right side
    81,360x = 30,697,668,056.25
  5. Step 5: Solve for x
    x = 30,697,668,056.25/81,360
  6. Step 6: Final answer
    x = 377,306.64

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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.