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Finding the Third Proportional to 516,496.78 and 1,115,985.66

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Solution

The third proportional to 516,496.78 and 1,115,985.66 is: 2,411,290.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,496.78 : 1,115,985.66 = 1,115,985.66 : x
  2. Step 2: Convert to fraction form
    516,496.78/1,115,985.66 = 1,115,985.66/x
  3. Step 3: Cross multiply
    516,496.78x = 1,115,985.66 × 1,115,985.66
  4. Step 4: Simplify right side
    516,496.78x = 1,245,423,984,955.74
  5. Step 5: Solve for x
    x = 1,245,423,984,955.74/516,496.78
  6. Step 6: Final answer
    x = 2,411,290.89

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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.