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Finding the Third Proportional to 641,572.31 and 1,377,914.63

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Solution

The third proportional to 641,572.31 and 1,377,914.63 is: 2,959,368.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,572.31 : 1,377,914.63 = 1,377,914.63 : x
  2. Step 2: Convert to fraction form
    641,572.31/1,377,914.63 = 1,377,914.63/x
  3. Step 3: Cross multiply
    641,572.31x = 1,377,914.63 × 1,377,914.63
  4. Step 4: Simplify right side
    641,572.31x = 1,898,648,713,788.89
  5. Step 5: Solve for x
    x = 1,898,648,713,788.89/641,572.31
  6. Step 6: Final answer
    x = 2,959,368.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.