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Finding the Third Proportional to 73,833,216 and 159,021,120

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Solution

The third proportional to 73,833,216 and 159,021,120 is: 342,497,834.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,833,216 : 159,021,120 = 159,021,120 : x
  2. Step 2: Convert to fraction form
    73,833,216/159,021,120 = 159,021,120/x
  3. Step 3: Cross multiply
    73,833,216x = 159,021,120 × 159,021,120
  4. Step 4: Simplify right side
    73,833,216x = 25,287,716,606,054,400
  5. Step 5: Solve for x
    x = 25,287,716,606,054,400/73,833,216
  6. Step 6: Final answer
    x = 342,497,834.66

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.