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Finding the Third Proportional to 1,309,540 and 2,020,383.50

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Solution

The third proportional to 1,309,540 and 2,020,383.50 is: 3,117,086.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,540 : 2,020,383.50 = 2,020,383.50 : x
  2. Step 2: Convert to fraction form
    1,309,540/2,020,383.50 = 2,020,383.50/x
  3. Step 3: Cross multiply
    1,309,540x = 2,020,383.50 × 2,020,383.50
  4. Step 4: Simplify right side
    1,309,540x = 4,081,949,487,072.25
  5. Step 5: Solve for x
    x = 4,081,949,487,072.25/1,309,540
  6. Step 6: Final answer
    x = 3,117,086.52

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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.