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Finding the Third Proportional to 290,866 and 634,292

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Solution

The third proportional to 290,866 and 634,292 is: 1,383,201.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,866 : 634,292 = 634,292 : x
  2. Step 2: Convert to fraction form
    290,866/634,292 = 634,292/x
  3. Step 3: Cross multiply
    290,866x = 634,292 × 634,292
  4. Step 4: Simplify right side
    290,866x = 402,326,341,264
  5. Step 5: Solve for x
    x = 402,326,341,264/290,866
  6. Step 6: Final answer
    x = 1,383,201.68

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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.