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Finding the Third Proportional to 78,100,636 and 162,665,600

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Solution

The third proportional to 78,100,636 and 162,665,600 is: 338,794,903.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,100,636 : 162,665,600 = 162,665,600 : x
  2. Step 2: Convert to fraction form
    78,100,636/162,665,600 = 162,665,600/x
  3. Step 3: Cross multiply
    78,100,636x = 162,665,600 × 162,665,600
  4. Step 4: Simplify right side
    78,100,636x = 26,460,097,423,360,000
  5. Step 5: Solve for x
    x = 26,460,097,423,360,000/78,100,636
  6. Step 6: Final answer
    x = 338,794,903.33

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.