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Finding the Third Proportional to 31,265,434 and 68,891,728

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Solution

The third proportional to 31,265,434 and 68,891,728 is: 151,799,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,265,434 : 68,891,728 = 68,891,728 : x
  2. Step 2: Convert to fraction form
    31,265,434/68,891,728 = 68,891,728/x
  3. Step 3: Cross multiply
    31,265,434x = 68,891,728 × 68,891,728
  4. Step 4: Simplify right side
    31,265,434x = 4,746,070,186,825,984
  5. Step 5: Solve for x
    x = 4,746,070,186,825,984/31,265,434
  6. Step 6: Final answer
    x = 151,799,274.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.