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Finding the Third Proportional to 320,425 and 431,332

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Solution

The third proportional to 320,425 and 431,332 is: 580,626.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,425 : 431,332 = 431,332 : x
  2. Step 2: Convert to fraction form
    320,425/431,332 = 431,332/x
  3. Step 3: Cross multiply
    320,425x = 431,332 × 431,332
  4. Step 4: Simplify right side
    320,425x = 186,047,294,224
  5. Step 5: Solve for x
    x = 186,047,294,224/320,425
  6. Step 6: Final answer
    x = 580,626.65

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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.