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Finding the Third Proportional to 165,858,420 and 359,910,188.25

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Solution

The third proportional to 165,858,420 and 359,910,188.25 is: 780,999,503.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,858,420 : 359,910,188.25 = 359,910,188.25 : x
  2. Step 2: Convert to fraction form
    165,858,420/359,910,188.25 = 359,910,188.25/x
  3. Step 3: Cross multiply
    165,858,420x = 359,910,188.25 × 359,910,188.25
  4. Step 4: Simplify right side
    165,858,420x = 129,535,343,606,150,432
  5. Step 5: Solve for x
    x = 129,535,343,606,150,432/165,858,420
  6. Step 6: Final answer
    x = 780,999,503.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.