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Finding the Third Proportional to 1,299,493.50 and 1,999,986

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Solution

The third proportional to 1,299,493.50 and 1,999,986 is: 3,078,079.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,493.50 : 1,999,986 = 1,999,986 : x
  2. Step 2: Convert to fraction form
    1,299,493.50/1,999,986 = 1,999,986/x
  3. Step 3: Cross multiply
    1,299,493.50x = 1,999,986 × 1,999,986
  4. Step 4: Simplify right side
    1,299,493.50x = 3,999,944,000,196
  5. Step 5: Solve for x
    x = 3,999,944,000,196/1,299,493.50
  6. Step 6: Final answer
    x = 3,078,079.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.