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Finding the Third Proportional to 3,579,984 and 5,421,972

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Solution

The third proportional to 3,579,984 and 5,421,972 is: 8,211,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579,984 : 5,421,972 = 5,421,972 : x
  2. Step 2: Convert to fraction form
    3,579,984/5,421,972 = 5,421,972/x
  3. Step 3: Cross multiply
    3,579,984x = 5,421,972 × 5,421,972
  4. Step 4: Simplify right side
    3,579,984x = 29,397,780,368,784
  5. Step 5: Solve for x
    x = 29,397,780,368,784/3,579,984
  6. Step 6: Final answer
    x = 8,211,707.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.