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Finding the Third Proportional to 401,087.25 and 891,831.38

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Solution

The third proportional to 401,087.25 and 891,831.38 is: 1,983,017.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,087.25 : 891,831.38 = 891,831.38 : x
  2. Step 2: Convert to fraction form
    401,087.25/891,831.38 = 891,831.38/x
  3. Step 3: Cross multiply
    401,087.25x = 891,831.38 × 891,831.38
  4. Step 4: Simplify right side
    401,087.25x = 795,363,201,434.39
  5. Step 5: Solve for x
    x = 795,363,201,434.39/401,087.25
  6. Step 6: Final answer
    x = 1,983,017.91

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.