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Finding the Third Proportional to 403,506 and 851,940

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Solution

The third proportional to 403,506 and 851,940 is: 1,798,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,506 : 851,940 = 851,940 : x
  2. Step 2: Convert to fraction form
    403,506/851,940 = 851,940/x
  3. Step 3: Cross multiply
    403,506x = 851,940 × 851,940
  4. Step 4: Simplify right side
    403,506x = 725,801,763,600
  5. Step 5: Solve for x
    x = 725,801,763,600/403,506
  6. Step 6: Final answer
    x = 1,798,738.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.