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Finding the Third Proportional to 297,914.63 and 382,514.91

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Solution

The third proportional to 297,914.63 and 382,514.91 is: 491,139.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,914.63 : 382,514.91 = 382,514.91 : x
  2. Step 2: Convert to fraction form
    297,914.63/382,514.91 = 382,514.91/x
  3. Step 3: Cross multiply
    297,914.63x = 382,514.91 × 382,514.91
  4. Step 4: Simplify right side
    297,914.63x = 146,317,653,503.45
  5. Step 5: Solve for x
    x = 146,317,653,503.45/297,914.63
  6. Step 6: Final answer
    x = 491,139.55

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.