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Finding the Third Proportional to 275,312 and 565,446

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Solution

The third proportional to 275,312 and 565,446 is: 1,161,333.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,312 : 565,446 = 565,446 : x
  2. Step 2: Convert to fraction form
    275,312/565,446 = 565,446/x
  3. Step 3: Cross multiply
    275,312x = 565,446 × 565,446
  4. Step 4: Simplify right side
    275,312x = 319,729,178,916
  5. Step 5: Solve for x
    x = 319,729,178,916/275,312
  6. Step 6: Final answer
    x = 1,161,333.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.