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Finding the Third Proportional to 297,070.31 and 641,496.66

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Solution

The third proportional to 297,070.31 and 641,496.66 is: 1,385,254.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,070.31 : 641,496.66 = 641,496.66 : x
  2. Step 2: Convert to fraction form
    297,070.31/641,496.66 = 641,496.66/x
  3. Step 3: Cross multiply
    297,070.31x = 641,496.66 × 641,496.66
  4. Step 4: Simplify right side
    297,070.31x = 411,517,959,979.93
  5. Step 5: Solve for x
    x = 411,517,959,979.93/297,070.31
  6. Step 6: Final answer
    x = 1,385,254.41

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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.