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Finding the Third Proportional to 292,384 and 640,608

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Solution

The third proportional to 292,384 and 640,608 is: 1,403,560.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,384 : 640,608 = 640,608 : x
  2. Step 2: Convert to fraction form
    292,384/640,608 = 640,608/x
  3. Step 3: Cross multiply
    292,384x = 640,608 × 640,608
  4. Step 4: Simplify right side
    292,384x = 410,378,609,664
  5. Step 5: Solve for x
    x = 410,378,609,664/292,384
  6. Step 6: Final answer
    x = 1,403,560.42

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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.