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Finding the Third Proportional to 31,800,390 and 49,590,153

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Solution

The third proportional to 31,800,390 and 49,590,153 is: 77,331,858.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,800,390 : 49,590,153 = 49,590,153 : x
  2. Step 2: Convert to fraction form
    31,800,390/49,590,153 = 49,590,153/x
  3. Step 3: Cross multiply
    31,800,390x = 49,590,153 × 49,590,153
  4. Step 4: Simplify right side
    31,800,390x = 2,459,183,274,563,409
  5. Step 5: Solve for x
    x = 2,459,183,274,563,409/31,800,390
  6. Step 6: Final answer
    x = 77,331,858.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.