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Finding the Third Proportional to 513,079.31 and 816,571.13

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Solution

The third proportional to 513,079.31 and 816,571.13 is: 1,299,581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,079.31 : 816,571.13 = 816,571.13 : x
  2. Step 2: Convert to fraction form
    513,079.31/816,571.13 = 816,571.13/x
  3. Step 3: Cross multiply
    513,079.31x = 816,571.13 × 816,571.13
  4. Step 4: Simplify right side
    513,079.31x = 666,788,402,183.77
  5. Step 5: Solve for x
    x = 666,788,402,183.77/513,079.31
  6. Step 6: Final answer
    x = 1,299,581.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.