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Finding the Third Proportional to 517,933 and 1,220,900

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Solution

The third proportional to 517,933 and 1,220,900 is: 2,877,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,933 : 1,220,900 = 1,220,900 : x
  2. Step 2: Convert to fraction form
    517,933/1,220,900 = 1,220,900/x
  3. Step 3: Cross multiply
    517,933x = 1,220,900 × 1,220,900
  4. Step 4: Simplify right side
    517,933x = 1,490,596,810,000
  5. Step 5: Solve for x
    x = 1,490,596,810,000/517,933
  6. Step 6: Final answer
    x = 2,877,972.27

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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.