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Finding the Third Proportional to 145,217.50 and 314,560.34

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Solution

The third proportional to 145,217.50 and 314,560.34 is: 681,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,217.50 : 314,560.34 = 314,560.34 : x
  2. Step 2: Convert to fraction form
    145,217.50/314,560.34 = 314,560.34/x
  3. Step 3: Cross multiply
    145,217.50x = 314,560.34 × 314,560.34
  4. Step 4: Simplify right side
    145,217.50x = 98,948,204,945.11
  5. Step 5: Solve for x
    x = 98,948,204,945.11/145,217.50
  6. Step 6: Final answer
    x = 681,379.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.