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Finding the Third Proportional to 64,303 and 138,464

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Solution

The third proportional to 64,303 and 138,464 is: 298,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,303 : 138,464 = 138,464 : x
  2. Step 2: Convert to fraction form
    64,303/138,464 = 138,464/x
  3. Step 3: Cross multiply
    64,303x = 138,464 × 138,464
  4. Step 4: Simplify right side
    64,303x = 19,172,279,296
  5. Step 5: Solve for x
    x = 19,172,279,296/64,303
  6. Step 6: Final answer
    x = 298,155.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.