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Finding the Third Proportional to 690,099 and 1,508,136

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Solution

The third proportional to 690,099 and 1,508,136 is: 3,295,866.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,099 : 1,508,136 = 1,508,136 : x
  2. Step 2: Convert to fraction form
    690,099/1,508,136 = 1,508,136/x
  3. Step 3: Cross multiply
    690,099x = 1,508,136 × 1,508,136
  4. Step 4: Simplify right side
    690,099x = 2,274,474,194,496
  5. Step 5: Solve for x
    x = 2,274,474,194,496/690,099
  6. Step 6: Final answer
    x = 3,295,866.53

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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.