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Finding the Third Proportional to 31,971,160 and 69,318,965

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Solution

The third proportional to 31,971,160 and 69,318,965 is: 150,295,419.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,971,160 : 69,318,965 = 69,318,965 : x
  2. Step 2: Convert to fraction form
    31,971,160/69,318,965 = 69,318,965/x
  3. Step 3: Cross multiply
    31,971,160x = 69,318,965 × 69,318,965
  4. Step 4: Simplify right side
    31,971,160x = 4,805,118,908,671,225
  5. Step 5: Solve for x
    x = 4,805,118,908,671,225/31,971,160
  6. Step 6: Final answer
    x = 150,295,419.64

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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.