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Finding the Third Proportional to 559,446.75 and 843,822.56

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Solution

The third proportional to 559,446.75 and 843,822.56 is: 1,272,751.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,446.75 : 843,822.56 = 843,822.56 : x
  2. Step 2: Convert to fraction form
    559,446.75/843,822.56 = 843,822.56/x
  3. Step 3: Cross multiply
    559,446.75x = 843,822.56 × 843,822.56
  4. Step 4: Simplify right side
    559,446.75x = 712,036,516,984.07
  5. Step 5: Solve for x
    x = 712,036,516,984.07/559,446.75
  6. Step 6: Final answer
    x = 1,272,751.19

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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.