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Finding the Third Proportional to 644,625 and 1,403,946

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Solution

The third proportional to 644,625 and 1,403,946 is: 3,057,691.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,625 : 1,403,946 = 1,403,946 : x
  2. Step 2: Convert to fraction form
    644,625/1,403,946 = 1,403,946/x
  3. Step 3: Cross multiply
    644,625x = 1,403,946 × 1,403,946
  4. Step 4: Simplify right side
    644,625x = 1,971,064,370,916
  5. Step 5: Solve for x
    x = 1,971,064,370,916/644,625
  6. Step 6: Final answer
    x = 3,057,691.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.