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Finding the Third Proportional to 148,656.75 and 309,625.50

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Solution

The third proportional to 148,656.75 and 309,625.50 is: 644,894.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,656.75 : 309,625.50 = 309,625.50 : x
  2. Step 2: Convert to fraction form
    148,656.75/309,625.50 = 309,625.50/x
  3. Step 3: Cross multiply
    148,656.75x = 309,625.50 × 309,625.50
  4. Step 4: Simplify right side
    148,656.75x = 95,867,950,250.25
  5. Step 5: Solve for x
    x = 95,867,950,250.25/148,656.75
  6. Step 6: Final answer
    x = 644,894.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.