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Finding the Third Proportional to 80,748,509 and 177,130,100

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Solution

The third proportional to 80,748,509 and 177,130,100 is: 388,552,961.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,748,509 : 177,130,100 = 177,130,100 : x
  2. Step 2: Convert to fraction form
    80,748,509/177,130,100 = 177,130,100/x
  3. Step 3: Cross multiply
    80,748,509x = 177,130,100 × 177,130,100
  4. Step 4: Simplify right side
    80,748,509x = 31,375,072,326,010,000
  5. Step 5: Solve for x
    x = 31,375,072,326,010,000/80,748,509
  6. Step 6: Final answer
    x = 388,552,961.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.