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Finding the Third Proportional to 517,936 and 1,220,907

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Solution

The third proportional to 517,936 and 1,220,907 is: 2,877,988.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,936 : 1,220,907 = 1,220,907 : x
  2. Step 2: Convert to fraction form
    517,936/1,220,907 = 1,220,907/x
  3. Step 3: Cross multiply
    517,936x = 1,220,907 × 1,220,907
  4. Step 4: Simplify right side
    517,936x = 1,490,613,902,649
  5. Step 5: Solve for x
    x = 1,490,613,902,649/517,936
  6. Step 6: Final answer
    x = 2,877,988.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.