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Finding the Third Proportional to 122,154.75 and 160,987.50

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Solution

The third proportional to 122,154.75 and 160,987.50 is: 212,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,154.75 : 160,987.50 = 160,987.50 : x
  2. Step 2: Convert to fraction form
    122,154.75/160,987.50 = 160,987.50/x
  3. Step 3: Cross multiply
    122,154.75x = 160,987.50 × 160,987.50
  4. Step 4: Simplify right side
    122,154.75x = 25,916,975,156.25
  5. Step 5: Solve for x
    x = 25,916,975,156.25/122,154.75
  6. Step 6: Final answer
    x = 212,165.10

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.