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Finding the Third Proportional to 280,002,820 and 438,241,542

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Solution

The third proportional to 280,002,820 and 438,241,542 is: 685,906,124.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,002,820 : 438,241,542 = 438,241,542 : x
  2. Step 2: Convert to fraction form
    280,002,820/438,241,542 = 438,241,542/x
  3. Step 3: Cross multiply
    280,002,820x = 438,241,542 × 438,241,542
  4. Step 4: Simplify right side
    280,002,820x = 192,055,649,134,537,760
  5. Step 5: Solve for x
    x = 192,055,649,134,537,760/280,002,820
  6. Step 6: Final answer
    x = 685,906,124.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.