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Finding the Third Proportional to 64,731 and 144,525

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Solution

The third proportional to 64,731 and 144,525 is: 322,681.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,731 : 144,525 = 144,525 : x
  2. Step 2: Convert to fraction form
    64,731/144,525 = 144,525/x
  3. Step 3: Cross multiply
    64,731x = 144,525 × 144,525
  4. Step 4: Simplify right side
    64,731x = 20,887,475,625
  5. Step 5: Solve for x
    x = 20,887,475,625/64,731
  6. Step 6: Final answer
    x = 322,681.18

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.