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Finding the Third Proportional to 68,211 and 145,894.50

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Solution

The third proportional to 68,211 and 145,894.50 is: 312,049.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,211 : 145,894.50 = 145,894.50 : x
  2. Step 2: Convert to fraction form
    68,211/145,894.50 = 145,894.50/x
  3. Step 3: Cross multiply
    68,211x = 145,894.50 × 145,894.50
  4. Step 4: Simplify right side
    68,211x = 21,285,205,130.25
  5. Step 5: Solve for x
    x = 21,285,205,130.25/68,211
  6. Step 6: Final answer
    x = 312,049.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.