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Finding the Third Proportional to 1,309,646.50 and 1,969,344

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Solution

The third proportional to 1,309,646.50 and 1,969,344 is: 2,961,345.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,646.50 : 1,969,344 = 1,969,344 : x
  2. Step 2: Convert to fraction form
    1,309,646.50/1,969,344 = 1,969,344/x
  3. Step 3: Cross multiply
    1,309,646.50x = 1,969,344 × 1,969,344
  4. Step 4: Simplify right side
    1,309,646.50x = 3,878,315,790,336
  5. Step 5: Solve for x
    x = 3,878,315,790,336/1,309,646.50
  6. Step 6: Final answer
    x = 2,961,345.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.