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Finding the Third Proportional to 132,914,113,356 and 285,987,106,342

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Solution

The third proportional to 132,914,113,356 and 285,987,106,342 is: 615,349,438,285.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,914,113,356 : 285,987,106,342 = 285,987,106,342 : x
  2. Step 2: Convert to fraction form
    132,914,113,356/285,987,106,342 = 285,987,106,342/x
  3. Step 3: Cross multiply
    132,914,113,356x = 285,987,106,342 × 285,987,106,342
  4. Step 4: Simplify right side
    132,914,113,356x = 81,788,624,993,870,409,629,696
  5. Step 5: Solve for x
    x = 81,788,624,993,870,409,629,696/132,914,113,356
  6. Step 6: Final answer
    x = 615,349,438,285.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.