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Finding the Third Proportional to 113,148,422,208 and 246,385,314,324

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Solution

The third proportional to 113,148,422,208 and 246,385,314,324 is: 536,514,092,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,148,422,208 : 246,385,314,324 = 246,385,314,324 : x
  2. Step 2: Convert to fraction form
    113,148,422,208/246,385,314,324 = 246,385,314,324/x
  3. Step 3: Cross multiply
    113,148,422,208x = 246,385,314,324 × 246,385,314,324
  4. Step 4: Simplify right side
    113,148,422,208x = 60,705,723,114,536,283,668,480
  5. Step 5: Solve for x
    x = 60,705,723,114,536,283,668,480/113,148,422,208
  6. Step 6: Final answer
    x = 536,514,092,993.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.