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Finding the Third Proportional to 148,905 and 218,983.50

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Solution

The third proportional to 148,905 and 218,983.50 is: 322,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,905 : 218,983.50 = 218,983.50 : x
  2. Step 2: Convert to fraction form
    148,905/218,983.50 = 218,983.50/x
  3. Step 3: Cross multiply
    148,905x = 218,983.50 × 218,983.50
  4. Step 4: Simplify right side
    148,905x = 47,953,773,272.25
  5. Step 5: Solve for x
    x = 47,953,773,272.25/148,905
  6. Step 6: Final answer
    x = 322,042.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.