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Finding the Third Proportional to 540,586 and 820,362

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Solution

The third proportional to 540,586 and 820,362 is: 1,244,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,586 : 820,362 = 820,362 : x
  2. Step 2: Convert to fraction form
    540,586/820,362 = 820,362/x
  3. Step 3: Cross multiply
    540,586x = 820,362 × 820,362
  4. Step 4: Simplify right side
    540,586x = 672,993,811,044
  5. Step 5: Solve for x
    x = 672,993,811,044/540,586
  6. Step 6: Final answer
    x = 1,244,933.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.