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Finding the Third Proportional to 401,756 and 865,014

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Solution

The third proportional to 401,756 and 865,014 is: 1,862,446.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,756 : 865,014 = 865,014 : x
  2. Step 2: Convert to fraction form
    401,756/865,014 = 865,014/x
  3. Step 3: Cross multiply
    401,756x = 865,014 × 865,014
  4. Step 4: Simplify right side
    401,756x = 748,249,220,196
  5. Step 5: Solve for x
    x = 748,249,220,196/401,756
  6. Step 6: Final answer
    x = 1,862,446.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.