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Finding the Third Proportional to 77,151,858 and 165,041,640

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Solution

The third proportional to 77,151,858 and 165,041,640 is: 353,053,622.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,151,858 : 165,041,640 = 165,041,640 : x
  2. Step 2: Convert to fraction form
    77,151,858/165,041,640 = 165,041,640/x
  3. Step 3: Cross multiply
    77,151,858x = 165,041,640 × 165,041,640
  4. Step 4: Simplify right side
    77,151,858x = 27,238,742,933,889,600
  5. Step 5: Solve for x
    x = 27,238,742,933,889,600/77,151,858
  6. Step 6: Final answer
    x = 353,053,622.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.