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Finding the Third Proportional to 168,911,976 and 261,124,780

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Solution

The third proportional to 168,911,976 and 261,124,780 is: 403,678,604.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,911,976 : 261,124,780 = 261,124,780 : x
  2. Step 2: Convert to fraction form
    168,911,976/261,124,780 = 261,124,780/x
  3. Step 3: Cross multiply
    168,911,976x = 261,124,780 × 261,124,780
  4. Step 4: Simplify right side
    168,911,976x = 68,186,150,730,048,400
  5. Step 5: Solve for x
    x = 68,186,150,730,048,400/168,911,976
  6. Step 6: Final answer
    x = 403,678,604.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.