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Finding the Third Proportional to 155,156 and 320,272

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Solution

The third proportional to 155,156 and 320,272 is: 661,103.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,156 : 320,272 = 320,272 : x
  2. Step 2: Convert to fraction form
    155,156/320,272 = 320,272/x
  3. Step 3: Cross multiply
    155,156x = 320,272 × 320,272
  4. Step 4: Simplify right side
    155,156x = 102,574,153,984
  5. Step 5: Solve for x
    x = 102,574,153,984/155,156
  6. Step 6: Final answer
    x = 661,103.37

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.