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Finding the Third Proportional to 404,869 and 865,779

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Solution

The third proportional to 404,869 and 865,779 is: 1,851,397.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,869 : 865,779 = 865,779 : x
  2. Step 2: Convert to fraction form
    404,869/865,779 = 865,779/x
  3. Step 3: Cross multiply
    404,869x = 865,779 × 865,779
  4. Step 4: Simplify right side
    404,869x = 749,573,276,841
  5. Step 5: Solve for x
    x = 749,573,276,841/404,869
  6. Step 6: Final answer
    x = 1,851,397.06

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.