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Finding the Third Proportional to 315,092.81 and 691,411.22

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Solution

The third proportional to 315,092.81 and 691,411.22 is: 1,517,170.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,092.81 : 691,411.22 = 691,411.22 : x
  2. Step 2: Convert to fraction form
    315,092.81/691,411.22 = 691,411.22/x
  3. Step 3: Cross multiply
    315,092.81x = 691,411.22 × 691,411.22
  4. Step 4: Simplify right side
    315,092.81x = 478,049,473,413.36
  5. Step 5: Solve for x
    x = 478,049,473,413.36/315,092.81
  6. Step 6: Final answer
    x = 1,517,170.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.