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Finding the Third Proportional to 290,912 and 634,384

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Solution

The third proportional to 290,912 and 634,384 is: 1,383,384.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,912 : 634,384 = 634,384 : x
  2. Step 2: Convert to fraction form
    290,912/634,384 = 634,384/x
  3. Step 3: Cross multiply
    290,912x = 634,384 × 634,384
  4. Step 4: Simplify right side
    290,912x = 402,443,059,456
  5. Step 5: Solve for x
    x = 402,443,059,456/290,912
  6. Step 6: Final answer
    x = 1,383,384.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.