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Finding the Third Proportional to 319,861,128 and 491,431,275

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Solution

The third proportional to 319,861,128 and 491,431,275 is: 755,029,845.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,861,128 : 491,431,275 = 491,431,275 : x
  2. Step 2: Convert to fraction form
    319,861,128/491,431,275 = 491,431,275/x
  3. Step 3: Cross multiply
    319,861,128x = 491,431,275 × 491,431,275
  4. Step 4: Simplify right side
    319,861,128x = 241,504,698,048,125,632
  5. Step 5: Solve for x
    x = 241,504,698,048,125,632/319,861,128
  6. Step 6: Final answer
    x = 755,029,845.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.