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Finding the Third Proportional to 812,700 and 1,869,102

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Solution

The third proportional to 812,700 and 1,869,102 is: 4,298,686.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,700 : 1,869,102 = 1,869,102 : x
  2. Step 2: Convert to fraction form
    812,700/1,869,102 = 1,869,102/x
  3. Step 3: Cross multiply
    812,700x = 1,869,102 × 1,869,102
  4. Step 4: Simplify right side
    812,700x = 3,493,542,286,404
  5. Step 5: Solve for x
    x = 3,493,542,286,404/812,700
  6. Step 6: Final answer
    x = 4,298,686.21

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.