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Finding the Third Proportional to 69,489,008 and 152,681,920

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Solution

The third proportional to 69,489,008 and 152,681,920 is: 335,474,190.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,489,008 : 152,681,920 = 152,681,920 : x
  2. Step 2: Convert to fraction form
    69,489,008/152,681,920 = 152,681,920/x
  3. Step 3: Cross multiply
    69,489,008x = 152,681,920 × 152,681,920
  4. Step 4: Simplify right side
    69,489,008x = 23,311,768,694,886,400
  5. Step 5: Solve for x
    x = 23,311,768,694,886,400/69,489,008
  6. Step 6: Final answer
    x = 335,474,190.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.