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Finding the Third Proportional to 68,069,344 and 145,706,816

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Solution

The third proportional to 68,069,344 and 145,706,816 is: 311,894,826.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,069,344 : 145,706,816 = 145,706,816 : x
  2. Step 2: Convert to fraction form
    68,069,344/145,706,816 = 145,706,816/x
  3. Step 3: Cross multiply
    68,069,344x = 145,706,816 × 145,706,816
  4. Step 4: Simplify right side
    68,069,344x = 21,230,476,228,857,856
  5. Step 5: Solve for x
    x = 21,230,476,228,857,856/68,069,344
  6. Step 6: Final answer
    x = 311,894,826.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.