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Finding the Third Proportional to 66,089,956 and 143,938,184

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Solution

The third proportional to 66,089,956 and 143,938,184 is: 313,484,863.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,089,956 : 143,938,184 = 143,938,184 : x
  2. Step 2: Convert to fraction form
    66,089,956/143,938,184 = 143,938,184/x
  3. Step 3: Cross multiply
    66,089,956x = 143,938,184 × 143,938,184
  4. Step 4: Simplify right side
    66,089,956x = 20,718,200,813,217,856
  5. Step 5: Solve for x
    x = 20,718,200,813,217,856/66,089,956
  6. Step 6: Final answer
    x = 313,484,863.16

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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.