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Finding the Third Proportional to 445,374 and 671,871

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Solution

The third proportional to 445,374 and 671,871 is: 1,013,554.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,374 : 671,871 = 671,871 : x
  2. Step 2: Convert to fraction form
    445,374/671,871 = 671,871/x
  3. Step 3: Cross multiply
    445,374x = 671,871 × 671,871
  4. Step 4: Simplify right side
    445,374x = 451,410,640,641
  5. Step 5: Solve for x
    x = 451,410,640,641/445,374
  6. Step 6: Final answer
    x = 1,013,554.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.