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Finding the Third Proportional to 180,132.75 and 278,948.25

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Solution

The third proportional to 180,132.75 and 278,948.25 is: 431,971.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,132.75 : 278,948.25 = 278,948.25 : x
  2. Step 2: Convert to fraction form
    180,132.75/278,948.25 = 278,948.25/x
  3. Step 3: Cross multiply
    180,132.75x = 278,948.25 × 278,948.25
  4. Step 4: Simplify right side
    180,132.75x = 77,812,126,178.06
  5. Step 5: Solve for x
    x = 77,812,126,178.06/180,132.75
  6. Step 6: Final answer
    x = 431,971.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.