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Finding the Third Proportional to 85,320,576 and 137,394,240

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Solution

The third proportional to 85,320,576 and 137,394,240 is: 221,249,997.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,320,576 : 137,394,240 = 137,394,240 : x
  2. Step 2: Convert to fraction form
    85,320,576/137,394,240 = 137,394,240/x
  3. Step 3: Cross multiply
    85,320,576x = 137,394,240 × 137,394,240
  4. Step 4: Simplify right side
    85,320,576x = 18,877,177,185,177,600
  5. Step 5: Solve for x
    x = 18,877,177,185,177,600/85,320,576
  6. Step 6: Final answer
    x = 221,249,997.01

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.