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Finding the Third Proportional to 129,863,578.50 and 285,699,422.25

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Solution

The third proportional to 129,863,578.50 and 285,699,422.25 is: 628,537,737.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,863,578.50 : 285,699,422.25 = 285,699,422.25 : x
  2. Step 2: Convert to fraction form
    129,863,578.50/285,699,422.25 = 285,699,422.25/x
  3. Step 3: Cross multiply
    129,863,578.50x = 285,699,422.25 × 285,699,422.25
  4. Step 4: Simplify right side
    129,863,578.50x = 81,624,159,873,983,792
  5. Step 5: Solve for x
    x = 81,624,159,873,983,792/129,863,578.50
  6. Step 6: Final answer
    x = 628,537,737.96

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.