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Finding the Third Proportional to 129,965,264 and 285,435,964

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Solution

The third proportional to 129,965,264 and 285,435,964 is: 626,888,193.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,965,264 : 285,435,964 = 285,435,964 : x
  2. Step 2: Convert to fraction form
    129,965,264/285,435,964 = 285,435,964/x
  3. Step 3: Cross multiply
    129,965,264x = 285,435,964 × 285,435,964
  4. Step 4: Simplify right side
    129,965,264x = 81,473,689,544,609,296
  5. Step 5: Solve for x
    x = 81,473,689,544,609,296/129,965,264
  6. Step 6: Final answer
    x = 626,888,193.33

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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.