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Finding the Third Proportional to 6,428,365.31 and 13,728,549.66

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Solution

The third proportional to 6,428,365.31 and 13,728,549.66 is: 29,318,974.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428,365.31 : 13,728,549.66 = 13,728,549.66 : x
  2. Step 2: Convert to fraction form
    6,428,365.31/13,728,549.66 = 13,728,549.66/x
  3. Step 3: Cross multiply
    6,428,365.31x = 13,728,549.66 × 13,728,549.66
  4. Step 4: Simplify right side
    6,428,365.31x = 188,473,075,664,122
  5. Step 5: Solve for x
    x = 188,473,075,664,122/6,428,365.31
  6. Step 6: Final answer
    x = 29,318,974.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.