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Finding the Third Proportional to 456,447 and 976,215

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Solution

The third proportional to 456,447 and 976,215 is: 2,087,856.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,447 : 976,215 = 976,215 : x
  2. Step 2: Convert to fraction form
    456,447/976,215 = 976,215/x
  3. Step 3: Cross multiply
    456,447x = 976,215 × 976,215
  4. Step 4: Simplify right side
    456,447x = 952,995,726,225
  5. Step 5: Solve for x
    x = 952,995,726,225/456,447
  6. Step 6: Final answer
    x = 2,087,856.26

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.