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Finding the Third Proportional to 65,549.25 and 139,677.75

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Solution

The third proportional to 65,549.25 and 139,677.75 is: 297,636.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,549.25 : 139,677.75 = 139,677.75 : x
  2. Step 2: Convert to fraction form
    65,549.25/139,677.75 = 139,677.75/x
  3. Step 3: Cross multiply
    65,549.25x = 139,677.75 × 139,677.75
  4. Step 4: Simplify right side
    65,549.25x = 19,509,873,845.06
  5. Step 5: Solve for x
    x = 19,509,873,845.06/65,549.25
  6. Step 6: Final answer
    x = 297,636.87

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.