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Finding the Third Proportional to 401,428.41 and 864,981.28

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Solution

The third proportional to 401,428.41 and 864,981.28 is: 1,863,825.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,428.41 : 864,981.28 = 864,981.28 : x
  2. Step 2: Convert to fraction form
    401,428.41/864,981.28 = 864,981.28/x
  3. Step 3: Cross multiply
    401,428.41x = 864,981.28 × 864,981.28
  4. Step 4: Simplify right side
    401,428.41x = 748,192,616,912.89
  5. Step 5: Solve for x
    x = 748,192,616,912.89/401,428.41
  6. Step 6: Final answer
    x = 1,863,825.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.