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Finding the Third Proportional to 243,364 and 356,638

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Solution

The third proportional to 243,364 and 356,638 is: 522,635.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,364 : 356,638 = 356,638 : x
  2. Step 2: Convert to fraction form
    243,364/356,638 = 356,638/x
  3. Step 3: Cross multiply
    243,364x = 356,638 × 356,638
  4. Step 4: Simplify right side
    243,364x = 127,190,663,044
  5. Step 5: Solve for x
    x = 127,190,663,044/243,364
  6. Step 6: Final answer
    x = 522,635.49

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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.