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Finding the Third Proportional to 424,871 and 919,443

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Solution

The third proportional to 424,871 and 919,443 is: 1,989,722.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,871 : 919,443 = 919,443 : x
  2. Step 2: Convert to fraction form
    424,871/919,443 = 919,443/x
  3. Step 3: Cross multiply
    424,871x = 919,443 × 919,443
  4. Step 4: Simplify right side
    424,871x = 845,375,430,249
  5. Step 5: Solve for x
    x = 845,375,430,249/424,871
  6. Step 6: Final answer
    x = 1,989,722.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.