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Finding the Third Proportional to 71,728,542.56 and 153,428,369.91

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Solution

The third proportional to 71,728,542.56 and 153,428,369.91 is: 328,185,459.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,728,542.56 : 153,428,369.91 = 153,428,369.91 : x
  2. Step 2: Convert to fraction form
    71,728,542.56/153,428,369.91 = 153,428,369.91/x
  3. Step 3: Cross multiply
    71,728,542.56x = 153,428,369.91 × 153,428,369.91
  4. Step 4: Simplify right side
    71,728,542.56x = 23,540,264,692,089,080
  5. Step 5: Solve for x
    x = 23,540,264,692,089,080/71,728,542.56
  6. Step 6: Final answer
    x = 328,185,459.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.