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Finding the Third Proportional to 516,498 and 1,115,988

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Solution

The third proportional to 516,498 and 1,115,988 is: 2,411,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,498 : 1,115,988 = 1,115,988 : x
  2. Step 2: Convert to fraction form
    516,498/1,115,988 = 1,115,988/x
  3. Step 3: Cross multiply
    516,498x = 1,115,988 × 1,115,988
  4. Step 4: Simplify right side
    516,498x = 1,245,429,216,144
  5. Step 5: Solve for x
    x = 1,245,429,216,144/516,498
  6. Step 6: Final answer
    x = 2,411,295.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.