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Finding the Third Proportional to 240,753 and 512,609

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Solution

The third proportional to 240,753 and 512,609 is: 1,091,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,753 : 512,609 = 512,609 : x
  2. Step 2: Convert to fraction form
    240,753/512,609 = 512,609/x
  3. Step 3: Cross multiply
    240,753x = 512,609 × 512,609
  4. Step 4: Simplify right side
    240,753x = 262,767,986,881
  5. Step 5: Solve for x
    x = 262,767,986,881/240,753
  6. Step 6: Final answer
    x = 1,091,442.21

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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.