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Finding the Third Proportional to 284,437 and 609,355

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Solution

The third proportional to 284,437 and 609,355 is: 1,305,433.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,437 : 609,355 = 609,355 : x
  2. Step 2: Convert to fraction form
    284,437/609,355 = 609,355/x
  3. Step 3: Cross multiply
    284,437x = 609,355 × 609,355
  4. Step 4: Simplify right side
    284,437x = 371,313,516,025
  5. Step 5: Solve for x
    x = 371,313,516,025/284,437
  6. Step 6: Final answer
    x = 1,305,433.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.