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Finding the Third Proportional to 83,384,970 and 129,269,928

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Solution

The third proportional to 83,384,970 and 129,269,928 is: 200,404,392.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,384,970 : 129,269,928 = 129,269,928 : x
  2. Step 2: Convert to fraction form
    83,384,970/129,269,928 = 129,269,928/x
  3. Step 3: Cross multiply
    83,384,970x = 129,269,928 × 129,269,928
  4. Step 4: Simplify right side
    83,384,970x = 16,710,714,285,125,184
  5. Step 5: Solve for x
    x = 16,710,714,285,125,184/83,384,970
  6. Step 6: Final answer
    x = 200,404,392.84

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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.