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Finding the Third Proportional to 68,161.50 and 140,140.13

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Solution

The third proportional to 68,161.50 and 140,140.13 is: 288,128.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,161.50 : 140,140.13 = 140,140.13 : x
  2. Step 2: Convert to fraction form
    68,161.50/140,140.13 = 140,140.13/x
  3. Step 3: Cross multiply
    68,161.50x = 140,140.13 × 140,140.13
  4. Step 4: Simplify right side
    68,161.50x = 19,639,254,635.02
  5. Step 5: Solve for x
    x = 19,639,254,635.02/68,161.50
  6. Step 6: Final answer
    x = 288,128.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.