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Finding the Third Proportional to 517,938 and 1,220,912

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Solution

The third proportional to 517,938 and 1,220,912 is: 2,878,001.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,938 : 1,220,912 = 1,220,912 : x
  2. Step 2: Convert to fraction form
    517,938/1,220,912 = 1,220,912/x
  3. Step 3: Cross multiply
    517,938x = 1,220,912 × 1,220,912
  4. Step 4: Simplify right side
    517,938x = 1,490,626,111,744
  5. Step 5: Solve for x
    x = 1,490,626,111,744/517,938
  6. Step 6: Final answer
    x = 2,878,001.06

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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.