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Finding the Third Proportional to 64,309 and 139,310

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Solution

The third proportional to 64,309 and 139,310 is: 301,781.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,309 : 139,310 = 139,310 : x
  2. Step 2: Convert to fraction form
    64,309/139,310 = 139,310/x
  3. Step 3: Cross multiply
    64,309x = 139,310 × 139,310
  4. Step 4: Simplify right side
    64,309x = 19,407,276,100
  5. Step 5: Solve for x
    x = 19,407,276,100/64,309
  6. Step 6: Final answer
    x = 301,781.65

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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.