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Finding the Third Proportional to 120,097 and 278,318.50

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Solution

The third proportional to 120,097 and 278,318.50 is: 644,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,097 : 278,318.50 = 278,318.50 : x
  2. Step 2: Convert to fraction form
    120,097/278,318.50 = 278,318.50/x
  3. Step 3: Cross multiply
    120,097x = 278,318.50 × 278,318.50
  4. Step 4: Simplify right side
    120,097x = 77,461,187,442.25
  5. Step 5: Solve for x
    x = 77,461,187,442.25/120,097
  6. Step 6: Final answer
    x = 644,988.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.