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Finding the Third Proportional to 4,551,214.50 and 9,777,213

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Solution

The third proportional to 4,551,214.50 and 9,777,213 is: 21,004,040.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,551,214.50 : 9,777,213 = 9,777,213 : x
  2. Step 2: Convert to fraction form
    4,551,214.50/9,777,213 = 9,777,213/x
  3. Step 3: Cross multiply
    4,551,214.50x = 9,777,213 × 9,777,213
  4. Step 4: Simplify right side
    4,551,214.50x = 95,593,894,047,369
  5. Step 5: Solve for x
    x = 95,593,894,047,369/4,551,214.50
  6. Step 6: Final answer
    x = 21,004,040.58

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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.