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Finding the Third Proportional to 420,840 and 591,944

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Solution

The third proportional to 420,840 and 591,944 is: 832,615.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,840 : 591,944 = 591,944 : x
  2. Step 2: Convert to fraction form
    420,840/591,944 = 591,944/x
  3. Step 3: Cross multiply
    420,840x = 591,944 × 591,944
  4. Step 4: Simplify right side
    420,840x = 350,397,699,136
  5. Step 5: Solve for x
    x = 350,397,699,136/420,840
  6. Step 6: Final answer
    x = 832,615.01

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.