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Finding the Third Proportional to 64,392 and 138,222

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Solution

The third proportional to 64,392 and 138,222 is: 296,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,392 : 138,222 = 138,222 : x
  2. Step 2: Convert to fraction form
    64,392/138,222 = 138,222/x
  3. Step 3: Cross multiply
    64,392x = 138,222 × 138,222
  4. Step 4: Simplify right side
    64,392x = 19,105,321,284
  5. Step 5: Solve for x
    x = 19,105,321,284/64,392
  6. Step 6: Final answer
    x = 296,703.34

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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.