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Finding the Third Proportional to 13,643,910 and 19,957,990.50

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Solution

The third proportional to 13,643,910 and 19,957,990.50 is: 29,194,078.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,643,910 : 19,957,990.50 = 19,957,990.50 : x
  2. Step 2: Convert to fraction form
    13,643,910/19,957,990.50 = 19,957,990.50/x
  3. Step 3: Cross multiply
    13,643,910x = 19,957,990.50 × 19,957,990.50
  4. Step 4: Simplify right side
    13,643,910x = 398,321,384,798,090.25
  5. Step 5: Solve for x
    x = 398,321,384,798,090.25/13,643,910
  6. Step 6: Final answer
    x = 29,194,078.88

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.