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Finding the Third Proportional to 381,522 and 565,803

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Solution

The third proportional to 381,522 and 565,803 is: 839,094.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,522 : 565,803 = 565,803 : x
  2. Step 2: Convert to fraction form
    381,522/565,803 = 565,803/x
  3. Step 3: Cross multiply
    381,522x = 565,803 × 565,803
  4. Step 4: Simplify right side
    381,522x = 320,133,034,809
  5. Step 5: Solve for x
    x = 320,133,034,809/381,522
  6. Step 6: Final answer
    x = 839,094.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.