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Finding the Third Proportional to 137,959,920 and 191,820,312

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Solution

The third proportional to 137,959,920 and 191,820,312 is: 266,708,128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,959,920 : 191,820,312 = 191,820,312 : x
  2. Step 2: Convert to fraction form
    137,959,920/191,820,312 = 191,820,312/x
  3. Step 3: Cross multiply
    137,959,920x = 191,820,312 × 191,820,312
  4. Step 4: Simplify right side
    137,959,920x = 36,795,032,095,777,344
  5. Step 5: Solve for x
    x = 36,795,032,095,777,344/137,959,920
  6. Step 6: Final answer
    x = 266,708,128.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.