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Finding the Third Proportional to 319,861,130 and 491,431,272

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Solution

The third proportional to 319,861,130 and 491,431,272 is: 755,029,831.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,861,130 : 491,431,272 = 491,431,272 : x
  2. Step 2: Convert to fraction form
    319,861,130/491,431,272 = 491,431,272/x
  3. Step 3: Cross multiply
    319,861,130x = 491,431,272 × 491,431,272
  4. Step 4: Simplify right side
    319,861,130x = 241,504,695,099,537,984
  5. Step 5: Solve for x
    x = 241,504,695,099,537,984/319,861,130
  6. Step 6: Final answer
    x = 755,029,831.54

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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.