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Finding the Third Proportional to 9,765,765 and 21,212,820

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Solution

The third proportional to 9,765,765 and 21,212,820 is: 46,077,673.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765,765 : 21,212,820 = 21,212,820 : x
  2. Step 2: Convert to fraction form
    9,765,765/21,212,820 = 21,212,820/x
  3. Step 3: Cross multiply
    9,765,765x = 21,212,820 × 21,212,820
  4. Step 4: Simplify right side
    9,765,765x = 449,983,732,352,400
  5. Step 5: Solve for x
    x = 449,983,732,352,400/9,765,765
  6. Step 6: Final answer
    x = 46,077,673.62

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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.