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Finding the Third Proportional to 297,079.88 and 641,509.31

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Solution

The third proportional to 297,079.88 and 641,509.31 is: 1,385,264.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,079.88 : 641,509.31 = 641,509.31 : x
  2. Step 2: Convert to fraction form
    297,079.88/641,509.31 = 641,509.31/x
  3. Step 3: Cross multiply
    297,079.88x = 641,509.31 × 641,509.31
  4. Step 4: Simplify right side
    297,079.88x = 411,534,198,024.22
  5. Step 5: Solve for x
    x = 411,534,198,024.22/297,079.88
  6. Step 6: Final answer
    x = 1,385,264.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.