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Finding the Third Proportional to 621,444 and 959,640

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Solution

The third proportional to 621,444 and 959,640 is: 1,481,885.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,444 : 959,640 = 959,640 : x
  2. Step 2: Convert to fraction form
    621,444/959,640 = 959,640/x
  3. Step 3: Cross multiply
    621,444x = 959,640 × 959,640
  4. Step 4: Simplify right side
    621,444x = 920,908,929,600
  5. Step 5: Solve for x
    x = 920,908,929,600/621,444
  6. Step 6: Final answer
    x = 1,481,885.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.