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Finding the Third Proportional to 284,961.50 and 619,310

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Solution

The third proportional to 284,961.50 and 619,310 is: 1,345,953.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,961.50 : 619,310 = 619,310 : x
  2. Step 2: Convert to fraction form
    284,961.50/619,310 = 619,310/x
  3. Step 3: Cross multiply
    284,961.50x = 619,310 × 619,310
  4. Step 4: Simplify right side
    284,961.50x = 383,544,876,100
  5. Step 5: Solve for x
    x = 383,544,876,100/284,961.50
  6. Step 6: Final answer
    x = 1,345,953.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.