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Finding the Third Proportional to 320,427 and 431,335

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Solution

The third proportional to 320,427 and 431,335 is: 580,631.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,427 : 431,335 = 431,335 : x
  2. Step 2: Convert to fraction form
    320,427/431,335 = 431,335/x
  3. Step 3: Cross multiply
    320,427x = 431,335 × 431,335
  4. Step 4: Simplify right side
    320,427x = 186,049,882,225
  5. Step 5: Solve for x
    x = 186,049,882,225/320,427
  6. Step 6: Final answer
    x = 580,631.10

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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.