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Finding the Third Proportional to 292,383 and 640,604.25

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Solution

The third proportional to 292,383 and 640,604.25 is: 1,403,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,383 : 640,604.25 = 640,604.25 : x
  2. Step 2: Convert to fraction form
    292,383/640,604.25 = 640,604.25/x
  3. Step 3: Cross multiply
    292,383x = 640,604.25 × 640,604.25
  4. Step 4: Simplify right side
    292,383x = 410,373,805,118.06
  5. Step 5: Solve for x
    x = 410,373,805,118.06/292,383
  6. Step 6: Final answer
    x = 1,403,548.79

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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.