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Finding the Third Proportional to 9,795,480 and 22,874,096

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Solution

The third proportional to 9,795,480 and 22,874,096 is: 53,414,867.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,795,480 : 22,874,096 = 22,874,096 : x
  2. Step 2: Convert to fraction form
    9,795,480/22,874,096 = 22,874,096/x
  3. Step 3: Cross multiply
    9,795,480x = 22,874,096 × 22,874,096
  4. Step 4: Simplify right side
    9,795,480x = 523,224,267,817,216
  5. Step 5: Solve for x
    x = 523,224,267,817,216/9,795,480
  6. Step 6: Final answer
    x = 53,414,867.66

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.