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Finding the Third Proportional to 140,822.50 and 313,130

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Solution

The third proportional to 140,822.50 and 313,130 is: 696,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,822.50 : 313,130 = 313,130 : x
  2. Step 2: Convert to fraction form
    140,822.50/313,130 = 313,130/x
  3. Step 3: Cross multiply
    140,822.50x = 313,130 × 313,130
  4. Step 4: Simplify right side
    140,822.50x = 98,050,396,900
  5. Step 5: Solve for x
    x = 98,050,396,900/140,822.50
  6. Step 6: Final answer
    x = 696,269.40

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.