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Finding the Third Proportional to 641,572 and 1,377,913

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Solution

The third proportional to 641,572 and 1,377,913 is: 2,959,362.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,572 : 1,377,913 = 1,377,913 : x
  2. Step 2: Convert to fraction form
    641,572/1,377,913 = 1,377,913/x
  3. Step 3: Cross multiply
    641,572x = 1,377,913 × 1,377,913
  4. Step 4: Simplify right side
    641,572x = 1,898,644,235,569
  5. Step 5: Solve for x
    x = 1,898,644,235,569/641,572
  6. Step 6: Final answer
    x = 2,959,362.68

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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.