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Finding the Third Proportional to 713,508.75 and 978,409.13

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Solution

The third proportional to 713,508.75 and 978,409.13 is: 1,341,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,508.75 : 978,409.13 = 978,409.13 : x
  2. Step 2: Convert to fraction form
    713,508.75/978,409.13 = 978,409.13/x
  3. Step 3: Cross multiply
    713,508.75x = 978,409.13 × 978,409.13
  4. Step 4: Simplify right side
    713,508.75x = 957,284,415,883.27
  5. Step 5: Solve for x
    x = 957,284,415,883.27/713,508.75
  6. Step 6: Final answer
    x = 1,341,657.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.