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Finding the Third Proportional to 290,882 and 634,324

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Solution

The third proportional to 290,882 and 634,324 is: 1,383,265.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,882 : 634,324 = 634,324 : x
  2. Step 2: Convert to fraction form
    290,882/634,324 = 634,324/x
  3. Step 3: Cross multiply
    290,882x = 634,324 × 634,324
  4. Step 4: Simplify right side
    290,882x = 402,366,936,976
  5. Step 5: Solve for x
    x = 402,366,936,976/290,882
  6. Step 6: Final answer
    x = 1,383,265.16

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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.