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Finding the Third Proportional to 140,756.50 and 207,411

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Solution

The third proportional to 140,756.50 and 207,411 is: 305,629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,756.50 : 207,411 = 207,411 : x
  2. Step 2: Convert to fraction form
    140,756.50/207,411 = 207,411/x
  3. Step 3: Cross multiply
    140,756.50x = 207,411 × 207,411
  4. Step 4: Simplify right side
    140,756.50x = 43,019,322,921
  5. Step 5: Solve for x
    x = 43,019,322,921/140,756.50
  6. Step 6: Final answer
    x = 305,629.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.