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Finding the Third Proportional to 210,057.75 and 313,708.50

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Solution

The third proportional to 210,057.75 and 313,708.50 is: 468,504.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,057.75 : 313,708.50 = 313,708.50 : x
  2. Step 2: Convert to fraction form
    210,057.75/313,708.50 = 313,708.50/x
  3. Step 3: Cross multiply
    210,057.75x = 313,708.50 × 313,708.50
  4. Step 4: Simplify right side
    210,057.75x = 98,413,022,972.25
  5. Step 5: Solve for x
    x = 98,413,022,972.25/210,057.75
  6. Step 6: Final answer
    x = 468,504.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.