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Finding the Third Proportional to 240,768 and 512,642

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Solution

The third proportional to 240,768 and 512,642 is: 1,091,514.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,768 : 512,642 = 512,642 : x
  2. Step 2: Convert to fraction form
    240,768/512,642 = 512,642/x
  3. Step 3: Cross multiply
    240,768x = 512,642 × 512,642
  4. Step 4: Simplify right side
    240,768x = 262,801,820,164
  5. Step 5: Solve for x
    x = 262,801,820,164/240,768
  6. Step 6: Final answer
    x = 1,091,514.74

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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.