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Finding the Third Proportional to 240,353 and 512,878

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Solution

The third proportional to 240,353 and 512,878 is: 1,094,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,353 : 512,878 = 512,878 : x
  2. Step 2: Convert to fraction form
    240,353/512,878 = 512,878/x
  3. Step 3: Cross multiply
    240,353x = 512,878 × 512,878
  4. Step 4: Simplify right side
    240,353x = 263,043,842,884
  5. Step 5: Solve for x
    x = 263,043,842,884/240,353
  6. Step 6: Final answer
    x = 1,094,406.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.