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Finding the Third Proportional to 81,643,153,238 and 113,518,278,682

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Solution

The third proportional to 81,643,153,238 and 113,518,278,682 is: 157,838,092,771.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,643,153,238 : 113,518,278,682 = 113,518,278,682 : x
  2. Step 2: Convert to fraction form
    81,643,153,238/113,518,278,682 = 113,518,278,682/x
  3. Step 3: Cross multiply
    81,643,153,238x = 113,518,278,682 × 113,518,278,682
  4. Step 4: Simplify right side
    81,643,153,238x = 12,886,399,594,924,215,369,728
  5. Step 5: Solve for x
    x = 12,886,399,594,924,215,369,728/81,643,153,238
  6. Step 6: Final answer
    x = 157,838,092,771.34

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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.