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Finding the Third Proportional to 225,289 and 314,968

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Solution

The third proportional to 225,289 and 314,968 is: 440,344.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,289 : 314,968 = 314,968 : x
  2. Step 2: Convert to fraction form
    225,289/314,968 = 314,968/x
  3. Step 3: Cross multiply
    225,289x = 314,968 × 314,968
  4. Step 4: Simplify right side
    225,289x = 99,204,841,024
  5. Step 5: Solve for x
    x = 99,204,841,024/225,289
  6. Step 6: Final answer
    x = 440,344.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.