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Finding the Third Proportional to 286,254 and 431,325

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Solution

The third proportional to 286,254 and 431,325 is: 649,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,254 : 431,325 = 431,325 : x
  2. Step 2: Convert to fraction form
    286,254/431,325 = 431,325/x
  3. Step 3: Cross multiply
    286,254x = 431,325 × 431,325
  4. Step 4: Simplify right side
    286,254x = 186,041,255,625
  5. Step 5: Solve for x
    x = 186,041,255,625/286,254
  6. Step 6: Final answer
    x = 649,916.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.