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Finding the Third Proportional to 64,731 and 99,351

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Solution

The third proportional to 64,731 and 99,351 is: 152,486.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,731 : 99,351 = 99,351 : x
  2. Step 2: Convert to fraction form
    64,731/99,351 = 99,351/x
  3. Step 3: Cross multiply
    64,731x = 99,351 × 99,351
  4. Step 4: Simplify right side
    64,731x = 9,870,621,201
  5. Step 5: Solve for x
    x = 9,870,621,201/64,731
  6. Step 6: Final answer
    x = 152,486.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.