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Finding the Third Proportional to 64,616 and 138,448

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Solution

The third proportional to 64,616 and 138,448 is: 296,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,616 : 138,448 = 138,448 : x
  2. Step 2: Convert to fraction form
    64,616/138,448 = 138,448/x
  3. Step 3: Cross multiply
    64,616x = 138,448 × 138,448
  4. Step 4: Simplify right side
    64,616x = 19,167,848,704
  5. Step 5: Solve for x
    x = 19,167,848,704/64,616
  6. Step 6: Final answer
    x = 296,642.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.