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Finding the Third Proportional to 64,600 and 138,539

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Solution

The third proportional to 64,600 and 138,539 is: 297,106.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,600 : 138,539 = 138,539 : x
  2. Step 2: Convert to fraction form
    64,600/138,539 = 138,539/x
  3. Step 3: Cross multiply
    64,600x = 138,539 × 138,539
  4. Step 4: Simplify right side
    64,600x = 19,193,054,521
  5. Step 5: Solve for x
    x = 19,193,054,521/64,600
  6. Step 6: Final answer
    x = 297,106.11

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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.