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Finding the Third Proportional to 225,278 and 314,953

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Solution

The third proportional to 225,278 and 314,953 is: 440,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,278 : 314,953 = 314,953 : x
  2. Step 2: Convert to fraction form
    225,278/314,953 = 314,953/x
  3. Step 3: Cross multiply
    225,278x = 314,953 × 314,953
  4. Step 4: Simplify right side
    225,278x = 99,195,392,209
  5. Step 5: Solve for x
    x = 99,195,392,209/225,278
  6. Step 6: Final answer
    x = 440,324.36

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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.