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Finding the Third Proportional to 320,434 and 431,346

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Solution

The third proportional to 320,434 and 431,346 is: 580,648.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,434 : 431,346 = 431,346 : x
  2. Step 2: Convert to fraction form
    320,434/431,346 = 431,346/x
  3. Step 3: Cross multiply
    320,434x = 431,346 × 431,346
  4. Step 4: Simplify right side
    320,434x = 186,059,371,716
  5. Step 5: Solve for x
    x = 186,059,371,716/320,434
  6. Step 6: Final answer
    x = 580,648.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.