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Finding the Third Proportional to 286,712 and 401,006

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Solution

The third proportional to 286,712 and 401,006 is: 560,861.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,712 : 401,006 = 401,006 : x
  2. Step 2: Convert to fraction form
    286,712/401,006 = 401,006/x
  3. Step 3: Cross multiply
    286,712x = 401,006 × 401,006
  4. Step 4: Simplify right side
    286,712x = 160,805,812,036
  5. Step 5: Solve for x
    x = 160,805,812,036/286,712
  6. Step 6: Final answer
    x = 560,861.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.