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Finding the Third Proportional to 64,127 and 139,207

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Solution

The third proportional to 64,127 and 139,207 is: 302,190.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,127 : 139,207 = 139,207 : x
  2. Step 2: Convert to fraction form
    64,127/139,207 = 139,207/x
  3. Step 3: Cross multiply
    64,127x = 139,207 × 139,207
  4. Step 4: Simplify right side
    64,127x = 19,378,588,849
  5. Step 5: Solve for x
    x = 19,378,588,849/64,127
  6. Step 6: Final answer
    x = 302,190.79

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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.