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Finding the Third Proportional to 56,873 and 89,209

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Solution

The third proportional to 56,873 and 89,209 is: 139,930.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,873 : 89,209 = 89,209 : x
  2. Step 2: Convert to fraction form
    56,873/89,209 = 89,209/x
  3. Step 3: Cross multiply
    56,873x = 89,209 × 89,209
  4. Step 4: Simplify right side
    56,873x = 7,958,245,681
  5. Step 5: Solve for x
    x = 7,958,245,681/56,873
  6. Step 6: Final answer
    x = 139,930.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.