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Finding the Third Proportional to 128,569,682 and 194,013,795

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Solution

The third proportional to 128,569,682 and 194,013,795 is: 292,770,053.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,569,682 : 194,013,795 = 194,013,795 : x
  2. Step 2: Convert to fraction form
    128,569,682/194,013,795 = 194,013,795/x
  3. Step 3: Cross multiply
    128,569,682x = 194,013,795 × 194,013,795
  4. Step 4: Simplify right side
    128,569,682x = 37,641,352,650,302,024
  5. Step 5: Solve for x
    x = 37,641,352,650,302,024/128,569,682
  6. Step 6: Final answer
    x = 292,770,053.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.