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Finding the Third Proportional to 289,487.67 and 635,051.39

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Solution

The third proportional to 289,487.67 and 635,051.39 is: 1,393,117.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,487.67 : 635,051.39 = 635,051.39 : x
  2. Step 2: Convert to fraction form
    289,487.67/635,051.39 = 635,051.39/x
  3. Step 3: Cross multiply
    289,487.67x = 635,051.39 × 635,051.39
  4. Step 4: Simplify right side
    289,487.67x = 403,290,268,734.75
  5. Step 5: Solve for x
    x = 403,290,268,734.75/289,487.67
  6. Step 6: Final answer
    x = 1,393,117.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.