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Finding the Third Proportional to 69,835,515 and 164,621,697

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Solution

The third proportional to 69,835,515 and 164,621,697 is: 388,059,043.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,835,515 : 164,621,697 = 164,621,697 : x
  2. Step 2: Convert to fraction form
    69,835,515/164,621,697 = 164,621,697/x
  3. Step 3: Cross multiply
    69,835,515x = 164,621,697 × 164,621,697
  4. Step 4: Simplify right side
    69,835,515x = 27,100,303,123,159,808
  5. Step 5: Solve for x
    x = 27,100,303,123,159,808/69,835,515
  6. Step 6: Final answer
    x = 388,059,043.07

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.