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Finding the Third Proportional to 512,853 and 1,116,012

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Solution

The third proportional to 512,853 and 1,116,012 is: 2,428,537.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,853 : 1,116,012 = 1,116,012 : x
  2. Step 2: Convert to fraction form
    512,853/1,116,012 = 1,116,012/x
  3. Step 3: Cross multiply
    512,853x = 1,116,012 × 1,116,012
  4. Step 4: Simplify right side
    512,853x = 1,245,482,784,144
  5. Step 5: Solve for x
    x = 1,245,482,784,144/512,853
  6. Step 6: Final answer
    x = 2,428,537.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.