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Finding the Third Proportional to 91,939,821 and 137,112,447

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Solution

The third proportional to 91,939,821 and 137,112,447 is: 204,479,657.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,939,821 : 137,112,447 = 137,112,447 : x
  2. Step 2: Convert to fraction form
    91,939,821/137,112,447 = 137,112,447/x
  3. Step 3: Cross multiply
    91,939,821x = 137,112,447 × 137,112,447
  4. Step 4: Simplify right side
    91,939,821x = 18,799,823,122,327,808
  5. Step 5: Solve for x
    x = 18,799,823,122,327,808/91,939,821
  6. Step 6: Final answer
    x = 204,479,657.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.