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Finding the Third Proportional to 328,380 and 709,256

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Solution

The third proportional to 328,380 and 709,256 is: 1,531,896.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,380 : 709,256 = 709,256 : x
  2. Step 2: Convert to fraction form
    328,380/709,256 = 709,256/x
  3. Step 3: Cross multiply
    328,380x = 709,256 × 709,256
  4. Step 4: Simplify right side
    328,380x = 503,044,073,536
  5. Step 5: Solve for x
    x = 503,044,073,536/328,380
  6. Step 6: Final answer
    x = 1,531,896.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.