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Finding the Third Proportional to 155,823.75 and 207,967.50

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Solution

The third proportional to 155,823.75 and 207,967.50 is: 277,560.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,823.75 : 207,967.50 = 207,967.50 : x
  2. Step 2: Convert to fraction form
    155,823.75/207,967.50 = 207,967.50/x
  3. Step 3: Cross multiply
    155,823.75x = 207,967.50 × 207,967.50
  4. Step 4: Simplify right side
    155,823.75x = 43,250,481,056.25
  5. Step 5: Solve for x
    x = 43,250,481,056.25/155,823.75
  6. Step 6: Final answer
    x = 277,560.26

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.