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Finding the Third Proportional to 138,912,576 and 301,738,944

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Solution

The third proportional to 138,912,576 and 301,738,944 is: 655,422,229.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,912,576 : 301,738,944 = 301,738,944 : x
  2. Step 2: Convert to fraction form
    138,912,576/301,738,944 = 301,738,944/x
  3. Step 3: Cross multiply
    138,912,576x = 301,738,944 × 301,738,944
  4. Step 4: Simplify right side
    138,912,576x = 91,046,390,326,235,136
  5. Step 5: Solve for x
    x = 91,046,390,326,235,136/138,912,576
  6. Step 6: Final answer
    x = 655,422,229.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.