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Finding the Third Proportional to 310,447.50 and 681,856.50

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Solution

The third proportional to 310,447.50 and 681,856.50 is: 1,497,606.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,447.50 : 681,856.50 = 681,856.50 : x
  2. Step 2: Convert to fraction form
    310,447.50/681,856.50 = 681,856.50/x
  3. Step 3: Cross multiply
    310,447.50x = 681,856.50 × 681,856.50
  4. Step 4: Simplify right side
    310,447.50x = 464,928,286,592.25
  5. Step 5: Solve for x
    x = 464,928,286,592.25/310,447.50
  6. Step 6: Final answer
    x = 1,497,606.80

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.