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Finding the Third Proportional to 409,877 and 627,254

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Solution

The third proportional to 409,877 and 627,254 is: 959,916.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,877 : 627,254 = 627,254 : x
  2. Step 2: Convert to fraction form
    409,877/627,254 = 627,254/x
  3. Step 3: Cross multiply
    409,877x = 627,254 × 627,254
  4. Step 4: Simplify right side
    409,877x = 393,447,580,516
  5. Step 5: Solve for x
    x = 393,447,580,516/409,877
  6. Step 6: Final answer
    x = 959,916.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.