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Finding the Third Proportional to 64,729 and 138,453

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Solution

The third proportional to 64,729 and 138,453 is: 296,145.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,729 : 138,453 = 138,453 : x
  2. Step 2: Convert to fraction form
    64,729/138,453 = 138,453/x
  3. Step 3: Cross multiply
    64,729x = 138,453 × 138,453
  4. Step 4: Simplify right side
    64,729x = 19,169,233,209
  5. Step 5: Solve for x
    x = 19,169,233,209/64,729
  6. Step 6: Final answer
    x = 296,145.98

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.