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Finding the Third Proportional to 128,569,680 and 194,013,792

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Solution

The third proportional to 128,569,680 and 194,013,792 is: 292,770,048.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,569,680 : 194,013,792 = 194,013,792 : x
  2. Step 2: Convert to fraction form
    128,569,680/194,013,792 = 194,013,792/x
  3. Step 3: Cross multiply
    128,569,680x = 194,013,792 × 194,013,792
  4. Step 4: Simplify right side
    128,569,680x = 37,641,351,486,219,264
  5. Step 5: Solve for x
    x = 37,641,351,486,219,264/128,569,680
  6. Step 6: Final answer
    x = 292,770,048.79

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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.