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Finding the Third Proportional to 420,622.75 and 917,372.75

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Solution

The third proportional to 420,622.75 and 917,372.75 is: 2,000,778.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,622.75 : 917,372.75 = 917,372.75 : x
  2. Step 2: Convert to fraction form
    420,622.75/917,372.75 = 917,372.75/x
  3. Step 3: Cross multiply
    420,622.75x = 917,372.75 × 917,372.75
  4. Step 4: Simplify right side
    420,622.75x = 841,572,762,442.56
  5. Step 5: Solve for x
    x = 841,572,762,442.56/420,622.75
  6. Step 6: Final answer
    x = 2,000,778.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.