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Finding the Third Proportional to 4,551,643 and 9,777,998

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Solution

The third proportional to 4,551,643 and 9,777,998 is: 21,005,435.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551,643 : 9,777,998 = 9,777,998 : x
  2. Step 2: Convert to fraction form
    4,551,643/9,777,998 = 9,777,998/x
  3. Step 3: Cross multiply
    4,551,643x = 9,777,998 × 9,777,998
  4. Step 4: Simplify right side
    4,551,643x = 95,609,244,888,004
  5. Step 5: Solve for x
    x = 95,609,244,888,004/4,551,643
  6. Step 6: Final answer
    x = 21,005,435.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.