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Finding the Third Proportional to 401,199 and 881,117

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Solution

The third proportional to 401,199 and 881,117 is: 1,935,117.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,199 : 881,117 = 881,117 : x
  2. Step 2: Convert to fraction form
    401,199/881,117 = 881,117/x
  3. Step 3: Cross multiply
    401,199x = 881,117 × 881,117
  4. Step 4: Simplify right side
    401,199x = 776,367,167,689
  5. Step 5: Solve for x
    x = 776,367,167,689/401,199
  6. Step 6: Final answer
    x = 1,935,117.40

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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.