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Finding the Third Proportional to 648,871 and 867,961

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Solution

The third proportional to 648,871 and 867,961 is: 1,161,026.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,871 : 867,961 = 867,961 : x
  2. Step 2: Convert to fraction form
    648,871/867,961 = 867,961/x
  3. Step 3: Cross multiply
    648,871x = 867,961 × 867,961
  4. Step 4: Simplify right side
    648,871x = 753,356,297,521
  5. Step 5: Solve for x
    x = 753,356,297,521/648,871
  6. Step 6: Final answer
    x = 1,161,026.30

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.