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Finding the Third Proportional to 328,256 and 515,280

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Solution

The third proportional to 328,256 and 515,280 is: 808,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,256 : 515,280 = 515,280 : x
  2. Step 2: Convert to fraction form
    328,256/515,280 = 515,280/x
  3. Step 3: Cross multiply
    328,256x = 515,280 × 515,280
  4. Step 4: Simplify right side
    328,256x = 265,513,478,400
  5. Step 5: Solve for x
    x = 265,513,478,400/328,256
  6. Step 6: Final answer
    x = 808,861.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.