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Finding the Third Proportional to 328,640 and 529,102

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Solution

The third proportional to 328,640 and 529,102 is: 851,840.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,640 : 529,102 = 529,102 : x
  2. Step 2: Convert to fraction form
    328,640/529,102 = 529,102/x
  3. Step 3: Cross multiply
    328,640x = 529,102 × 529,102
  4. Step 4: Simplify right side
    328,640x = 279,948,926,404
  5. Step 5: Solve for x
    x = 279,948,926,404/328,640
  6. Step 6: Final answer
    x = 851,840.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.