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Finding the Third Proportional to 12,999,069 and 20,116,984.50

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Solution

The third proportional to 12,999,069 and 20,116,984.50 is: 31,132,465.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,999,069 : 20,116,984.50 = 20,116,984.50 : x
  2. Step 2: Convert to fraction form
    12,999,069/20,116,984.50 = 20,116,984.50/x
  3. Step 3: Cross multiply
    12,999,069x = 20,116,984.50 × 20,116,984.50
  4. Step 4: Simplify right side
    12,999,069x = 404,693,065,373,240.25
  5. Step 5: Solve for x
    x = 404,693,065,373,240.25/12,999,069
  6. Step 6: Final answer
    x = 31,132,465.36

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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.