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Finding the Third Proportional to 208,256 and 431,272

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Solution

The third proportional to 208,256 and 431,272 is: 893,110.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,256 : 431,272 = 431,272 : x
  2. Step 2: Convert to fraction form
    208,256/431,272 = 431,272/x
  3. Step 3: Cross multiply
    208,256x = 431,272 × 431,272
  4. Step 4: Simplify right side
    208,256x = 185,995,537,984
  5. Step 5: Solve for x
    x = 185,995,537,984/208,256
  6. Step 6: Final answer
    x = 893,110.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.