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Finding the Third Proportional to 280,719 and 431,491

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Solution

The third proportional to 280,719 and 431,491 is: 663,241.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,719 : 431,491 = 431,491 : x
  2. Step 2: Convert to fraction form
    280,719/431,491 = 431,491/x
  3. Step 3: Cross multiply
    280,719x = 431,491 × 431,491
  4. Step 4: Simplify right side
    280,719x = 186,184,483,081
  5. Step 5: Solve for x
    x = 186,184,483,081/280,719
  6. Step 6: Final answer
    x = 663,241.47

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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.