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Finding the Third Proportional to 317,848 and 661,832

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Solution

The third proportional to 317,848 and 661,832 is: 1,378,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,848 : 661,832 = 661,832 : x
  2. Step 2: Convert to fraction form
    317,848/661,832 = 661,832/x
  3. Step 3: Cross multiply
    317,848x = 661,832 × 661,832
  4. Step 4: Simplify right side
    317,848x = 438,021,596,224
  5. Step 5: Solve for x
    x = 438,021,596,224/317,848
  6. Step 6: Final answer
    x = 1,378,085.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.