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Finding the Third Proportional to 327,453 and 715,780

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Solution

The third proportional to 327,453 and 715,780 is: 1,564,624.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,453 : 715,780 = 715,780 : x
  2. Step 2: Convert to fraction form
    327,453/715,780 = 715,780/x
  3. Step 3: Cross multiply
    327,453x = 715,780 × 715,780
  4. Step 4: Simplify right side
    327,453x = 512,341,008,400
  5. Step 5: Solve for x
    x = 512,341,008,400/327,453
  6. Step 6: Final answer
    x = 1,564,624.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.