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Finding the Third Proportional to 289,759.78 and 634,878

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Solution

The third proportional to 289,759.78 and 634,878 is: 1,391,049.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,759.78 : 634,878 = 634,878 : x
  2. Step 2: Convert to fraction form
    289,759.78/634,878 = 634,878/x
  3. Step 3: Cross multiply
    289,759.78x = 634,878 × 634,878
  4. Step 4: Simplify right side
    289,759.78x = 403,070,074,884
  5. Step 5: Solve for x
    x = 403,070,074,884/289,759.78
  6. Step 6: Final answer
    x = 1,391,049.07

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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.