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Finding the Third Proportional to 64,868.25 and 139,437

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Solution

The third proportional to 64,868.25 and 139,437 is: 299,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,868.25 : 139,437 = 139,437 : x
  2. Step 2: Convert to fraction form
    64,868.25/139,437 = 139,437/x
  3. Step 3: Cross multiply
    64,868.25x = 139,437 × 139,437
  4. Step 4: Simplify right side
    64,868.25x = 19,442,676,969
  5. Step 5: Solve for x
    x = 19,442,676,969/64,868.25
  6. Step 6: Final answer
    x = 299,725.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.