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Finding the Third Proportional to 366,938 and 788,128

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Solution

The third proportional to 366,938 and 788,128 is: 1,692,781.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,938 : 788,128 = 788,128 : x
  2. Step 2: Convert to fraction form
    366,938/788,128 = 788,128/x
  3. Step 3: Cross multiply
    366,938x = 788,128 × 788,128
  4. Step 4: Simplify right side
    366,938x = 621,145,744,384
  5. Step 5: Solve for x
    x = 621,145,744,384/366,938
  6. Step 6: Final answer
    x = 1,692,781.19

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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.