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Finding the Third Proportional to 9,162,996 and 13,464,013.50

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Solution

The third proportional to 9,162,996 and 13,464,013.50 is: 19,783,885.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162,996 : 13,464,013.50 = 13,464,013.50 : x
  2. Step 2: Convert to fraction form
    9,162,996/13,464,013.50 = 13,464,013.50/x
  3. Step 3: Cross multiply
    9,162,996x = 13,464,013.50 × 13,464,013.50
  4. Step 4: Simplify right side
    9,162,996x = 181,279,659,528,182.25
  5. Step 5: Solve for x
    x = 181,279,659,528,182.25/9,162,996
  6. Step 6: Final answer
    x = 19,783,885.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.