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Finding the Third Proportional to 137,841,986 and 213,409,731

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Solution

The third proportional to 137,841,986 and 213,409,731 is: 330,405,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,841,986 : 213,409,731 = 213,409,731 : x
  2. Step 2: Convert to fraction form
    137,841,986/213,409,731 = 213,409,731/x
  3. Step 3: Cross multiply
    137,841,986x = 213,409,731 × 213,409,731
  4. Step 4: Simplify right side
    137,841,986x = 45,543,713,285,492,360
  5. Step 5: Solve for x
    x = 45,543,713,285,492,360/137,841,986
  6. Step 6: Final answer
    x = 330,405,231.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.