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Finding the Third Proportional to 250,162,160 and 377,211,792

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Solution

The third proportional to 250,162,160 and 377,211,792 is: 568,786,006.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,162,160 : 377,211,792 = 377,211,792 : x
  2. Step 2: Convert to fraction form
    250,162,160/377,211,792 = 377,211,792/x
  3. Step 3: Cross multiply
    250,162,160x = 377,211,792 × 377,211,792
  4. Step 4: Simplify right side
    250,162,160x = 142,288,736,023,851,264
  5. Step 5: Solve for x
    x = 142,288,736,023,851,264/250,162,160
  6. Step 6: Final answer
    x = 568,786,006.74

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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.