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Finding the Third Proportional to 8,424,402 and 18,193,716

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Solution

The third proportional to 8,424,402 and 18,193,716 is: 39,291,964.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424,402 : 18,193,716 = 18,193,716 : x
  2. Step 2: Convert to fraction form
    8,424,402/18,193,716 = 18,193,716/x
  3. Step 3: Cross multiply
    8,424,402x = 18,193,716 × 18,193,716
  4. Step 4: Simplify right side
    8,424,402x = 331,011,301,888,656
  5. Step 5: Solve for x
    x = 331,011,301,888,656/8,424,402
  6. Step 6: Final answer
    x = 39,291,964.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.