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Finding the Third Proportional to 64,989 and 139,649

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Solution

The third proportional to 64,989 and 139,649 is: 300,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,989 : 139,649 = 139,649 : x
  2. Step 2: Convert to fraction form
    64,989/139,649 = 139,649/x
  3. Step 3: Cross multiply
    64,989x = 139,649 × 139,649
  4. Step 4: Simplify right side
    64,989x = 19,501,843,201
  5. Step 5: Solve for x
    x = 19,501,843,201/64,989
  6. Step 6: Final answer
    x = 300,079.14

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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.