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Finding the Third Proportional to 9,778,873 and 21,260,281

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Solution

The third proportional to 9,778,873 and 21,260,281 is: 46,222,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,873 : 21,260,281 = 21,260,281 : x
  2. Step 2: Convert to fraction form
    9,778,873/21,260,281 = 21,260,281/x
  3. Step 3: Cross multiply
    9,778,873x = 21,260,281 × 21,260,281
  4. Step 4: Simplify right side
    9,778,873x = 451,999,548,198,961
  5. Step 5: Solve for x
    x = 451,999,548,198,961/9,778,873
  6. Step 6: Final answer
    x = 46,222,049.13

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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.