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Finding the Third Proportional to 64,559 and 139,838

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Solution

The third proportional to 64,559 and 139,838 is: 302,896.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,559 : 139,838 = 139,838 : x
  2. Step 2: Convert to fraction form
    64,559/139,838 = 139,838/x
  3. Step 3: Cross multiply
    64,559x = 139,838 × 139,838
  4. Step 4: Simplify right side
    64,559x = 19,554,666,244
  5. Step 5: Solve for x
    x = 19,554,666,244/64,559
  6. Step 6: Final answer
    x = 302,896.05

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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.