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Finding the Third Proportional to 9,798,009 and 21,278,550

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Solution

The third proportional to 9,798,009 and 21,278,550 is: 46,211,091.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798,009 : 21,278,550 = 21,278,550 : x
  2. Step 2: Convert to fraction form
    9,798,009/21,278,550 = 21,278,550/x
  3. Step 3: Cross multiply
    9,798,009x = 21,278,550 × 21,278,550
  4. Step 4: Simplify right side
    9,798,009x = 452,776,690,102,500
  5. Step 5: Solve for x
    x = 452,776,690,102,500/9,798,009
  6. Step 6: Final answer
    x = 46,211,091.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.