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Finding the Third Proportional to 12,921,280.50 and 20,017,165.50

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Solution

The third proportional to 12,921,280.50 and 20,017,165.50 is: 31,009,845.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,921,280.50 : 20,017,165.50 = 20,017,165.50 : x
  2. Step 2: Convert to fraction form
    12,921,280.50/20,017,165.50 = 20,017,165.50/x
  3. Step 3: Cross multiply
    12,921,280.50x = 20,017,165.50 × 20,017,165.50
  4. Step 4: Simplify right side
    12,921,280.50x = 400,686,914,654,390.25
  5. Step 5: Solve for x
    x = 400,686,914,654,390.25/12,921,280.50
  6. Step 6: Final answer
    x = 31,009,845.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.