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Finding the Third Proportional to 68,681,976 and 145,552,080

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Solution

The third proportional to 68,681,976 and 145,552,080 is: 308,456,588.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,681,976 : 145,552,080 = 145,552,080 : x
  2. Step 2: Convert to fraction form
    68,681,976/145,552,080 = 145,552,080/x
  3. Step 3: Cross multiply
    68,681,976x = 145,552,080 × 145,552,080
  4. Step 4: Simplify right side
    68,681,976x = 21,185,407,992,326,400
  5. Step 5: Solve for x
    x = 21,185,407,992,326,400/68,681,976
  6. Step 6: Final answer
    x = 308,456,588.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.