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Finding the Third Proportional to 403,605 and 856,407

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Solution

The third proportional to 403,605 and 856,407 is: 1,817,204.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,605 : 856,407 = 856,407 : x
  2. Step 2: Convert to fraction form
    403,605/856,407 = 856,407/x
  3. Step 3: Cross multiply
    403,605x = 856,407 × 856,407
  4. Step 4: Simplify right side
    403,605x = 733,432,949,649
  5. Step 5: Solve for x
    x = 733,432,949,649/403,605
  6. Step 6: Final answer
    x = 1,817,204.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.