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Finding the Third Proportional to 551,812 and 1,209,608

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Solution

The third proportional to 551,812 and 1,209,608 is: 2,651,539.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    551,812 : 1,209,608 = 1,209,608 : x
  2. Step 2: Convert to fraction form
    551,812/1,209,608 = 1,209,608/x
  3. Step 3: Cross multiply
    551,812x = 1,209,608 × 1,209,608
  4. Step 4: Simplify right side
    551,812x = 1,463,151,513,664
  5. Step 5: Solve for x
    x = 1,463,151,513,664/551,812
  6. Step 6: Final answer
    x = 2,651,539.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.