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Finding the Third Proportional to 263,958 and 424,989

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Solution

The third proportional to 263,958 and 424,989 is: 684,259.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,958 : 424,989 = 424,989 : x
  2. Step 2: Convert to fraction form
    263,958/424,989 = 424,989/x
  3. Step 3: Cross multiply
    263,958x = 424,989 × 424,989
  4. Step 4: Simplify right side
    263,958x = 180,615,650,121
  5. Step 5: Solve for x
    x = 180,615,650,121/263,958
  6. Step 6: Final answer
    x = 684,259.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.