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Finding the Third Proportional to 77,311,672 and 166,728,620

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Solution

The third proportional to 77,311,672 and 166,728,620 is: 359,563,207.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,311,672 : 166,728,620 = 166,728,620 : x
  2. Step 2: Convert to fraction form
    77,311,672/166,728,620 = 166,728,620/x
  3. Step 3: Cross multiply
    77,311,672x = 166,728,620 × 166,728,620
  4. Step 4: Simplify right side
    77,311,672x = 27,798,432,727,104,400
  5. Step 5: Solve for x
    x = 27,798,432,727,104,400/77,311,672
  6. Step 6: Final answer
    x = 359,563,207.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.