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Finding the Third Proportional to 98,640 and 139,573

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Solution

The third proportional to 98,640 and 139,573 is: 197,492.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,640 : 139,573 = 139,573 : x
  2. Step 2: Convert to fraction form
    98,640/139,573 = 139,573/x
  3. Step 3: Cross multiply
    98,640x = 139,573 × 139,573
  4. Step 4: Simplify right side
    98,640x = 19,480,622,329
  5. Step 5: Solve for x
    x = 19,480,622,329/98,640
  6. Step 6: Final answer
    x = 197,492.12

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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.