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Finding the Third Proportional to 280,742 and 431,955

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Solution

The third proportional to 280,742 and 431,955 is: 664,614.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,742 : 431,955 = 431,955 : x
  2. Step 2: Convert to fraction form
    280,742/431,955 = 431,955/x
  3. Step 3: Cross multiply
    280,742x = 431,955 × 431,955
  4. Step 4: Simplify right side
    280,742x = 186,585,122,025
  5. Step 5: Solve for x
    x = 186,585,122,025/280,742
  6. Step 6: Final answer
    x = 664,614.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.