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Finding the Third Proportional to 201,630 and 297,847

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Solution

The third proportional to 201,630 and 297,847 is: 439,978.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,630 : 297,847 = 297,847 : x
  2. Step 2: Convert to fraction form
    201,630/297,847 = 297,847/x
  3. Step 3: Cross multiply
    201,630x = 297,847 × 297,847
  4. Step 4: Simplify right side
    201,630x = 88,712,835,409
  5. Step 5: Solve for x
    x = 88,712,835,409/201,630
  6. Step 6: Final answer
    x = 439,978.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.