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Finding the Third Proportional to 403,607 and 856,411

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Solution

The third proportional to 403,607 and 856,411 is: 1,817,212.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,607 : 856,411 = 856,411 : x
  2. Step 2: Convert to fraction form
    403,607/856,411 = 856,411/x
  3. Step 3: Cross multiply
    403,607x = 856,411 × 856,411
  4. Step 4: Simplify right side
    403,607x = 733,439,800,921
  5. Step 5: Solve for x
    x = 733,439,800,921/403,607
  6. Step 6: Final answer
    x = 1,817,212.79

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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.