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Finding the Third Proportional to 644,066 and 1,515,461

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Solution

The third proportional to 644,066 and 1,515,461 is: 3,565,817.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,066 : 1,515,461 = 1,515,461 : x
  2. Step 2: Convert to fraction form
    644,066/1,515,461 = 1,515,461/x
  3. Step 3: Cross multiply
    644,066x = 1,515,461 × 1,515,461
  4. Step 4: Simplify right side
    644,066x = 2,296,622,042,521
  5. Step 5: Solve for x
    x = 2,296,622,042,521/644,066
  6. Step 6: Final answer
    x = 3,565,817.85

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.