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Finding the Third Proportional to 202,423 and 291,605

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Solution

The third proportional to 202,423 and 291,605 is: 420,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,423 : 291,605 = 291,605 : x
  2. Step 2: Convert to fraction form
    202,423/291,605 = 291,605/x
  3. Step 3: Cross multiply
    202,423x = 291,605 × 291,605
  4. Step 4: Simplify right side
    202,423x = 85,033,476,025
  5. Step 5: Solve for x
    x = 85,033,476,025/202,423
  6. Step 6: Final answer
    x = 420,078.13

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.