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Finding the Third Proportional to 27,691,729 and 42,989,039

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Solution

The third proportional to 27,691,729 and 42,989,039 is: 66,736,803.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,691,729 : 42,989,039 = 42,989,039 : x
  2. Step 2: Convert to fraction form
    27,691,729/42,989,039 = 42,989,039/x
  3. Step 3: Cross multiply
    27,691,729x = 42,989,039 × 42,989,039
  4. Step 4: Simplify right side
    27,691,729x = 1,848,057,474,143,521
  5. Step 5: Solve for x
    x = 1,848,057,474,143,521/27,691,729
  6. Step 6: Final answer
    x = 66,736,803.40

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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.