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Finding the Third Proportional to 83,288,992,312 and 126,885,018,553

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Solution

The third proportional to 83,288,992,312 and 126,885,018,553 is: 193,300,548,923.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,288,992,312 : 126,885,018,553 = 126,885,018,553 : x
  2. Step 2: Convert to fraction form
    83,288,992,312/126,885,018,553 = 126,885,018,553/x
  3. Step 3: Cross multiply
    83,288,992,312x = 126,885,018,553 × 126,885,018,553
  4. Step 4: Simplify right side
    83,288,992,312x = 16,099,807,933,195,154,882,560
  5. Step 5: Solve for x
    x = 16,099,807,933,195,154,882,560/83,288,992,312
  6. Step 6: Final answer
    x = 193,300,548,923.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.