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Finding the Third Proportional to 132,914,113,381 and 285,987,106,395

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Solution

The third proportional to 132,914,113,381 and 285,987,106,395 is: 615,349,438,398.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,914,113,381 : 285,987,106,395 = 285,987,106,395 : x
  2. Step 2: Convert to fraction form
    132,914,113,381/285,987,106,395 = 285,987,106,395/x
  3. Step 3: Cross multiply
    132,914,113,381x = 285,987,106,395 × 285,987,106,395
  4. Step 4: Simplify right side
    132,914,113,381x = 81,788,625,024,185,043,779,584
  5. Step 5: Solve for x
    x = 81,788,625,024,185,043,779,584/132,914,113,381
  6. Step 6: Final answer
    x = 615,349,438,398.14

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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.