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Finding the Third Proportional to 64,538 and 139,803

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Solution

The third proportional to 64,538 and 139,803 is: 302,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,538 : 139,803 = 139,803 : x
  2. Step 2: Convert to fraction form
    64,538/139,803 = 139,803/x
  3. Step 3: Cross multiply
    64,538x = 139,803 × 139,803
  4. Step 4: Simplify right side
    64,538x = 19,544,878,809
  5. Step 5: Solve for x
    x = 19,544,878,809/64,538
  6. Step 6: Final answer
    x = 302,842.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.