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Finding the Third Proportional to 64,388 and 138,298

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Solution

The third proportional to 64,388 and 138,298 is: 297,048.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,388 : 138,298 = 138,298 : x
  2. Step 2: Convert to fraction form
    64,388/138,298 = 138,298/x
  3. Step 3: Cross multiply
    64,388x = 138,298 × 138,298
  4. Step 4: Simplify right side
    64,388x = 19,126,336,804
  5. Step 5: Solve for x
    x = 19,126,336,804/64,388
  6. Step 6: Final answer
    x = 297,048.16

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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.