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Finding the Third Proportional to 82,380,480 and 177,518,880

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Solution

The third proportional to 82,380,480 and 177,518,880 is: 382,529,365.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,380,480 : 177,518,880 = 177,518,880 : x
  2. Step 2: Convert to fraction form
    82,380,480/177,518,880 = 177,518,880/x
  3. Step 3: Cross multiply
    82,380,480x = 177,518,880 × 177,518,880
  4. Step 4: Simplify right side
    82,380,480x = 31,512,952,756,454,400
  5. Step 5: Solve for x
    x = 31,512,952,756,454,400/82,380,480
  6. Step 6: Final answer
    x = 382,529,365.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.