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Finding the Third Proportional to 286,770.38 and 630,159.75

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Solution

The third proportional to 286,770.38 and 630,159.75 is: 1,384,736.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,770.38 : 630,159.75 = 630,159.75 : x
  2. Step 2: Convert to fraction form
    286,770.38/630,159.75 = 630,159.75/x
  3. Step 3: Cross multiply
    286,770.38x = 630,159.75 × 630,159.75
  4. Step 4: Simplify right side
    286,770.38x = 397,101,310,520.06
  5. Step 5: Solve for x
    x = 397,101,310,520.06/286,770.38
  6. Step 6: Final answer
    x = 1,384,736.17

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.