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Finding the Third Proportional to 207,420 and 313,039.50

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Solution

The third proportional to 207,420 and 313,039.50 is: 472,441.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,420 : 313,039.50 = 313,039.50 : x
  2. Step 2: Convert to fraction form
    207,420/313,039.50 = 313,039.50/x
  3. Step 3: Cross multiply
    207,420x = 313,039.50 × 313,039.50
  4. Step 4: Simplify right side
    207,420x = 97,993,728,560.25
  5. Step 5: Solve for x
    x = 97,993,728,560.25/207,420
  6. Step 6: Final answer
    x = 472,441.08

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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.