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Finding the Third Proportional to 289,642.88 and 630,774.75

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Solution

The third proportional to 289,642.88 and 630,774.75 is: 1,373,680.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,642.88 : 630,774.75 = 630,774.75 : x
  2. Step 2: Convert to fraction form
    289,642.88/630,774.75 = 630,774.75/x
  3. Step 3: Cross multiply
    289,642.88x = 630,774.75 × 630,774.75
  4. Step 4: Simplify right side
    289,642.88x = 397,876,785,237.56
  5. Step 5: Solve for x
    x = 397,876,785,237.56/289,642.88
  6. Step 6: Final answer
    x = 1,373,680.55

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