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Finding the Third Proportional to 281,963 and 431,875

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Solution

The third proportional to 281,963 and 431,875 is: 661,491.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,963 : 431,875 = 431,875 : x
  2. Step 2: Convert to fraction form
    281,963/431,875 = 431,875/x
  3. Step 3: Cross multiply
    281,963x = 431,875 × 431,875
  4. Step 4: Simplify right side
    281,963x = 186,516,015,625
  5. Step 5: Solve for x
    x = 186,516,015,625/281,963
  6. Step 6: Final answer
    x = 661,491.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.