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Finding the Third Proportional to 92,406,783 and 138,322,309.50

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Solution

The third proportional to 92,406,783 and 138,322,309.50 is: 207,052,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,406,783 : 138,322,309.50 = 138,322,309.50 : x
  2. Step 2: Convert to fraction form
    92,406,783/138,322,309.50 = 138,322,309.50/x
  3. Step 3: Cross multiply
    92,406,783x = 138,322,309.50 × 138,322,309.50
  4. Step 4: Simplify right side
    92,406,783x = 19,133,061,305,413,792
  5. Step 5: Solve for x
    x = 19,133,061,305,413,792/92,406,783
  6. Step 6: Final answer
    x = 207,052,563.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.