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Finding the Third Proportional to 140,017.50 and 211,173.75

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Solution

The third proportional to 140,017.50 and 211,173.75 is: 318,491.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,017.50 : 211,173.75 = 211,173.75 : x
  2. Step 2: Convert to fraction form
    140,017.50/211,173.75 = 211,173.75/x
  3. Step 3: Cross multiply
    140,017.50x = 211,173.75 × 211,173.75
  4. Step 4: Simplify right side
    140,017.50x = 44,594,352,689.06
  5. Step 5: Solve for x
    x = 44,594,352,689.06/140,017.50
  6. Step 6: Final answer
    x = 318,491.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.