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Finding the Third Proportional to 241,580 and 399,272

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Solution

The third proportional to 241,580 and 399,272 is: 659,897.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,580 : 399,272 = 399,272 : x
  2. Step 2: Convert to fraction form
    241,580/399,272 = 399,272/x
  3. Step 3: Cross multiply
    241,580x = 399,272 × 399,272
  4. Step 4: Simplify right side
    241,580x = 159,418,129,984
  5. Step 5: Solve for x
    x = 159,418,129,984/241,580
  6. Step 6: Final answer
    x = 659,897.88

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.