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Finding the Third Proportional to 66,089,952 and 143,938,176

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Solution

The third proportional to 66,089,952 and 143,938,176 is: 313,484,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,089,952 : 143,938,176 = 143,938,176 : x
  2. Step 2: Convert to fraction form
    66,089,952/143,938,176 = 143,938,176/x
  3. Step 3: Cross multiply
    66,089,952x = 143,938,176 × 143,938,176
  4. Step 4: Simplify right side
    66,089,952x = 20,718,198,510,206,976
  5. Step 5: Solve for x
    x = 20,718,198,510,206,976/66,089,952
  6. Step 6: Final answer
    x = 313,484,847.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.