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Finding the Third Proportional to 750,431 and 1,640,990

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Solution

The third proportional to 750,431 and 1,640,990 is: 3,588,402.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,431 : 1,640,990 = 1,640,990 : x
  2. Step 2: Convert to fraction form
    750,431/1,640,990 = 1,640,990/x
  3. Step 3: Cross multiply
    750,431x = 1,640,990 × 1,640,990
  4. Step 4: Simplify right side
    750,431x = 2,692,848,180,100
  5. Step 5: Solve for x
    x = 2,692,848,180,100/750,431
  6. Step 6: Final answer
    x = 3,588,402.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.