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Finding the Third Proportional to 140,133 and 211,657.50

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Solution

The third proportional to 140,133 and 211,657.50 is: 319,688.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,133 : 211,657.50 = 211,657.50 : x
  2. Step 2: Convert to fraction form
    140,133/211,657.50 = 211,657.50/x
  3. Step 3: Cross multiply
    140,133x = 211,657.50 × 211,657.50
  4. Step 4: Simplify right side
    140,133x = 44,798,897,306.25
  5. Step 5: Solve for x
    x = 44,798,897,306.25/140,133
  6. Step 6: Final answer
    x = 319,688.42

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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.