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Finding the Third Proportional to 120,172.50 and 278,190

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Solution

The third proportional to 120,172.50 and 278,190 is: 643,988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,172.50 : 278,190 = 278,190 : x
  2. Step 2: Convert to fraction form
    120,172.50/278,190 = 278,190/x
  3. Step 3: Cross multiply
    120,172.50x = 278,190 × 278,190
  4. Step 4: Simplify right side
    120,172.50x = 77,389,676,100
  5. Step 5: Solve for x
    x = 77,389,676,100/120,172.50
  6. Step 6: Final answer
    x = 643,988.23

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.