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Finding the Third Proportional to 640,158 and 991,152

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Solution

The third proportional to 640,158 and 991,152 is: 1,534,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,158 : 991,152 = 991,152 : x
  2. Step 2: Convert to fraction form
    640,158/991,152 = 991,152/x
  3. Step 3: Cross multiply
    640,158x = 991,152 × 991,152
  4. Step 4: Simplify right side
    640,158x = 982,382,287,104
  5. Step 5: Solve for x
    x = 982,382,287,104/640,158
  6. Step 6: Final answer
    x = 1,534,593.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.