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Finding the Third Proportional to 399,070 and 861,444

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Solution

The third proportional to 399,070 and 861,444 is: 1,859,537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,070 : 861,444 = 861,444 : x
  2. Step 2: Convert to fraction form
    399,070/861,444 = 861,444/x
  3. Step 3: Cross multiply
    399,070x = 861,444 × 861,444
  4. Step 4: Simplify right side
    399,070x = 742,085,765,136
  5. Step 5: Solve for x
    x = 742,085,765,136/399,070
  6. Step 6: Final answer
    x = 1,859,537.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.