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Finding the Third Proportional to 81,207,447 and 133,310,974.50

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Solution

The third proportional to 81,207,447 and 133,310,974.50 is: 218,844,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,207,447 : 133,310,974.50 = 133,310,974.50 : x
  2. Step 2: Convert to fraction form
    81,207,447/133,310,974.50 = 133,310,974.50/x
  3. Step 3: Cross multiply
    81,207,447x = 133,310,974.50 × 133,310,974.50
  4. Step 4: Simplify right side
    81,207,447x = 17,771,815,922,139,650
  5. Step 5: Solve for x
    x = 17,771,815,922,139,650/81,207,447
  6. Step 6: Final answer
    x = 218,844,657.46

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.