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Finding the Third Proportional to 21,197,029.50 and 45,915,493.50

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Solution

The third proportional to 21,197,029.50 and 45,915,493.50 is: 99,458,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,197,029.50 : 45,915,493.50 = 45,915,493.50 : x
  2. Step 2: Convert to fraction form
    21,197,029.50/45,915,493.50 = 45,915,493.50/x
  3. Step 3: Cross multiply
    21,197,029.50x = 45,915,493.50 × 45,915,493.50
  4. Step 4: Simplify right side
    21,197,029.50x = 2,108,232,543,348,542.25
  5. Step 5: Solve for x
    x = 2,108,232,543,348,542.25/21,197,029.50
  6. Step 6: Final answer
    x = 99,458,867.26

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.