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Finding the Third Proportional to 31,386,043 and 66,505,619

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Solution

The third proportional to 31,386,043 and 66,505,619 is: 140,922,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,386,043 : 66,505,619 = 66,505,619 : x
  2. Step 2: Convert to fraction form
    31,386,043/66,505,619 = 66,505,619/x
  3. Step 3: Cross multiply
    31,386,043x = 66,505,619 × 66,505,619
  4. Step 4: Simplify right side
    31,386,043x = 4,422,997,358,573,161
  5. Step 5: Solve for x
    x = 4,422,997,358,573,161/31,386,043
  6. Step 6: Final answer
    x = 140,922,427.16

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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.