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Finding the Third Proportional to 400,088 and 872,073

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Solution

The third proportional to 400,088 and 872,073 is: 1,900,860.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,088 : 872,073 = 872,073 : x
  2. Step 2: Convert to fraction form
    400,088/872,073 = 872,073/x
  3. Step 3: Cross multiply
    400,088x = 872,073 × 872,073
  4. Step 4: Simplify right side
    400,088x = 760,511,317,329
  5. Step 5: Solve for x
    x = 760,511,317,329/400,088
  6. Step 6: Final answer
    x = 1,900,860.10

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.