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Finding the Third Proportional to 12,940,641 and 20,298,289.50

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Solution

The third proportional to 12,940,641 and 20,298,289.50 is: 31,839,269.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,940,641 : 20,298,289.50 = 20,298,289.50 : x
  2. Step 2: Convert to fraction form
    12,940,641/20,298,289.50 = 20,298,289.50/x
  3. Step 3: Cross multiply
    12,940,641x = 20,298,289.50 × 20,298,289.50
  4. Step 4: Simplify right side
    12,940,641x = 412,020,556,625,810.25
  5. Step 5: Solve for x
    x = 412,020,556,625,810.25/12,940,641
  6. Step 6: Final answer
    x = 31,839,269.53

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.