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Finding the Third Proportional to 409,072 and 627,892

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Solution

The third proportional to 409,072 and 627,892 is: 963,762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,072 : 627,892 = 627,892 : x
  2. Step 2: Convert to fraction form
    409,072/627,892 = 627,892/x
  3. Step 3: Cross multiply
    409,072x = 627,892 × 627,892
  4. Step 4: Simplify right side
    409,072x = 394,248,363,664
  5. Step 5: Solve for x
    x = 394,248,363,664/409,072
  6. Step 6: Final answer
    x = 963,762.77

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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.