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Finding the Third Proportional to 9,778,930 and 21,240,729

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Solution

The third proportional to 9,778,930 and 21,240,729 is: 46,136,803.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,778,930 : 21,240,729 = 21,240,729 : x
  2. Step 2: Convert to fraction form
    9,778,930/21,240,729 = 21,240,729/x
  3. Step 3: Cross multiply
    9,778,930x = 21,240,729 × 21,240,729
  4. Step 4: Simplify right side
    9,778,930x = 451,168,568,451,441
  5. Step 5: Solve for x
    x = 451,168,568,451,441/9,778,930
  6. Step 6: Final answer
    x = 46,136,803.15

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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.