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Finding the Third Proportional to 9,969,840 and 21,321,378

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Solution

The third proportional to 9,969,840 and 21,321,378 is: 45,597,638.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969,840 : 21,321,378 = 21,321,378 : x
  2. Step 2: Convert to fraction form
    9,969,840/21,321,378 = 21,321,378/x
  3. Step 3: Cross multiply
    9,969,840x = 21,321,378 × 21,321,378
  4. Step 4: Simplify right side
    9,969,840x = 454,601,159,818,884
  5. Step 5: Solve for x
    x = 454,601,159,818,884/9,969,840
  6. Step 6: Final answer
    x = 45,597,638.46

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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.