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Finding the Third Proportional to 64,319 and 139,327

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Solution

The third proportional to 64,319 and 139,327 is: 301,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,319 : 139,327 = 139,327 : x
  2. Step 2: Convert to fraction form
    64,319/139,327 = 139,327/x
  3. Step 3: Cross multiply
    64,319x = 139,327 × 139,327
  4. Step 4: Simplify right side
    64,319x = 19,412,012,929
  5. Step 5: Solve for x
    x = 19,412,012,929/64,319
  6. Step 6: Final answer
    x = 301,808.38

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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.