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Finding the Third Proportional to 297,104 and 487,720

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Solution

The third proportional to 297,104 and 487,720 is: 800,631.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,104 : 487,720 = 487,720 : x
  2. Step 2: Convert to fraction form
    297,104/487,720 = 487,720/x
  3. Step 3: Cross multiply
    297,104x = 487,720 × 487,720
  4. Step 4: Simplify right side
    297,104x = 237,870,798,400
  5. Step 5: Solve for x
    x = 237,870,798,400/297,104
  6. Step 6: Final answer
    x = 800,631.42

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.