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Finding the Third Proportional to 624,491 and 1,298,067.50

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Solution

The third proportional to 624,491 and 1,298,067.50 is: 2,698,164.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,491 : 1,298,067.50 = 1,298,067.50 : x
  2. Step 2: Convert to fraction form
    624,491/1,298,067.50 = 1,298,067.50/x
  3. Step 3: Cross multiply
    624,491x = 1,298,067.50 × 1,298,067.50
  4. Step 4: Simplify right side
    624,491x = 1,684,979,234,556.25
  5. Step 5: Solve for x
    x = 1,684,979,234,556.25/624,491
  6. Step 6: Final answer
    x = 2,698,164.16

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.