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Finding the Third Proportional to 401,153 and 881,042

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Solution

The third proportional to 401,153 and 881,042 is: 1,935,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,153 : 881,042 = 881,042 : x
  2. Step 2: Convert to fraction form
    401,153/881,042 = 881,042/x
  3. Step 3: Cross multiply
    401,153x = 881,042 × 881,042
  4. Step 4: Simplify right side
    401,153x = 776,235,005,764
  5. Step 5: Solve for x
    x = 776,235,005,764/401,153
  6. Step 6: Final answer
    x = 1,935,009.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.