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Finding the Third Proportional to 407,891.25 and 874,831.50

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Solution

The third proportional to 407,891.25 and 874,831.50 is: 1,876,309.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,891.25 : 874,831.50 = 874,831.50 : x
  2. Step 2: Convert to fraction form
    407,891.25/874,831.50 = 874,831.50/x
  3. Step 3: Cross multiply
    407,891.25x = 874,831.50 × 874,831.50
  4. Step 4: Simplify right side
    407,891.25x = 765,330,153,392.25
  5. Step 5: Solve for x
    x = 765,330,153,392.25/407,891.25
  6. Step 6: Final answer
    x = 1,876,309.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.