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Finding the Third Proportional to 68,858,187.75 and 145,487,809.13

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Solution

The third proportional to 68,858,187.75 and 145,487,809.13 is: 307,395,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,858,187.75 : 145,487,809.13 = 145,487,809.13 : x
  2. Step 2: Convert to fraction form
    68,858,187.75/145,487,809.13 = 145,487,809.13/x
  3. Step 3: Cross multiply
    68,858,187.75x = 145,487,809.13 × 145,487,809.13
  4. Step 4: Simplify right side
    68,858,187.75x = 21,166,702,603,992,432
  5. Step 5: Solve for x
    x = 21,166,702,603,992,432/68,858,187.75
  6. Step 6: Final answer
    x = 307,395,580.62

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.