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Finding the Third Proportional to 243,344 and 356,608

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Solution

The third proportional to 243,344 and 356,608 is: 522,590.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,344 : 356,608 = 356,608 : x
  2. Step 2: Convert to fraction form
    243,344/356,608 = 356,608/x
  3. Step 3: Cross multiply
    243,344x = 356,608 × 356,608
  4. Step 4: Simplify right side
    243,344x = 127,169,265,664
  5. Step 5: Solve for x
    x = 127,169,265,664/243,344
  6. Step 6: Final answer
    x = 522,590.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.