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Finding the Third Proportional to 310,941 and 641,511

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Solution

The third proportional to 310,941 and 641,511 is: 1,323,519.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,941 : 641,511 = 641,511 : x
  2. Step 2: Convert to fraction form
    310,941/641,511 = 641,511/x
  3. Step 3: Cross multiply
    310,941x = 641,511 × 641,511
  4. Step 4: Simplify right side
    310,941x = 411,536,363,121
  5. Step 5: Solve for x
    x = 411,536,363,121/310,941
  6. Step 6: Final answer
    x = 1,323,519.13

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.