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Finding the Third Proportional to 313,989 and 455,662.50

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Solution

The third proportional to 313,989 and 455,662.50 is: 661,259.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,989 : 455,662.50 = 455,662.50 : x
  2. Step 2: Convert to fraction form
    313,989/455,662.50 = 455,662.50/x
  3. Step 3: Cross multiply
    313,989x = 455,662.50 × 455,662.50
  4. Step 4: Simplify right side
    313,989x = 207,628,313,906.25
  5. Step 5: Solve for x
    x = 207,628,313,906.25/313,989
  6. Step 6: Final answer
    x = 661,259.83

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.