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Finding the Third Proportional to 98,642 and 139,576

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Solution

The third proportional to 98,642 and 139,576 is: 197,496.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,642 : 139,576 = 139,576 : x
  2. Step 2: Convert to fraction form
    98,642/139,576 = 139,576/x
  3. Step 3: Cross multiply
    98,642x = 139,576 × 139,576
  4. Step 4: Simplify right side
    98,642x = 19,481,459,776
  5. Step 5: Solve for x
    x = 19,481,459,776/98,642
  6. Step 6: Final answer
    x = 197,496.60

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.