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Finding the Third Proportional to 64,539 and 139,275

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Solution

The third proportional to 64,539 and 139,275 is: 300,555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,539 : 139,275 = 139,275 : x
  2. Step 2: Convert to fraction form
    64,539/139,275 = 139,275/x
  3. Step 3: Cross multiply
    64,539x = 139,275 × 139,275
  4. Step 4: Simplify right side
    64,539x = 19,397,525,625
  5. Step 5: Solve for x
    x = 19,397,525,625/64,539
  6. Step 6: Final answer
    x = 300,555.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.