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Finding the Third Proportional to 132,914,113,352 and 285,987,106,334

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Solution

The third proportional to 132,914,113,352 and 285,987,106,334 is: 615,349,438,269.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,914,113,352 : 285,987,106,334 = 285,987,106,334 : x
  2. Step 2: Convert to fraction form
    132,914,113,352/285,987,106,334 = 285,987,106,334/x
  3. Step 3: Cross multiply
    132,914,113,352x = 285,987,106,334 × 285,987,106,334
  4. Step 4: Simplify right side
    132,914,113,352x = 81,788,624,989,294,625,292,288
  5. Step 5: Solve for x
    x = 81,788,624,989,294,625,292,288/132,914,113,352
  6. Step 6: Final answer
    x = 615,349,438,269.90

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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.