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Finding the Third Proportional to 78,121,116 and 167,004,459

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Solution

The third proportional to 78,121,116 and 167,004,459 is: 357,016,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,121,116 : 167,004,459 = 167,004,459 : x
  2. Step 2: Convert to fraction form
    78,121,116/167,004,459 = 167,004,459/x
  3. Step 3: Cross multiply
    78,121,116x = 167,004,459 × 167,004,459
  4. Step 4: Simplify right side
    78,121,116x = 27,890,489,325,882,680
  5. Step 5: Solve for x
    x = 27,890,489,325,882,680/78,121,116
  6. Step 6: Final answer
    x = 357,016,012.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.