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Finding the Third Proportional to 140,780.25 and 306,346.50

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Solution

The third proportional to 140,780.25 and 306,346.50 is: 666,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,780.25 : 306,346.50 = 306,346.50 : x
  2. Step 2: Convert to fraction form
    140,780.25/306,346.50 = 306,346.50/x
  3. Step 3: Cross multiply
    140,780.25x = 306,346.50 × 306,346.50
  4. Step 4: Simplify right side
    140,780.25x = 93,848,178,062.25
  5. Step 5: Solve for x
    x = 93,848,178,062.25/140,780.25
  6. Step 6: Final answer
    x = 666,628.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.