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Finding the Third Proportional to 64,289 and 139,270

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Solution

The third proportional to 64,289 and 139,270 is: 301,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,289 : 139,270 = 139,270 : x
  2. Step 2: Convert to fraction form
    64,289/139,270 = 139,270/x
  3. Step 3: Cross multiply
    64,289x = 139,270 × 139,270
  4. Step 4: Simplify right side
    64,289x = 19,396,132,900
  5. Step 5: Solve for x
    x = 19,396,132,900/64,289
  6. Step 6: Final answer
    x = 301,702.20

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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.