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Finding the Third Proportional to 9,218,200 and 13,279,128

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Solution

The third proportional to 9,218,200 and 13,279,128 is: 19,129,031.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218,200 : 13,279,128 = 13,279,128 : x
  2. Step 2: Convert to fraction form
    9,218,200/13,279,128 = 13,279,128/x
  3. Step 3: Cross multiply
    9,218,200x = 13,279,128 × 13,279,128
  4. Step 4: Simplify right side
    9,218,200x = 176,335,240,440,384
  5. Step 5: Solve for x
    x = 176,335,240,440,384/9,218,200
  6. Step 6: Final answer
    x = 19,129,031.75

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.