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Finding the Third Proportional to 98,574 and 139,480

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Solution

The third proportional to 98,574 and 139,480 is: 197,361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,574 : 139,480 = 139,480 : x
  2. Step 2: Convert to fraction form
    98,574/139,480 = 139,480/x
  3. Step 3: Cross multiply
    98,574x = 139,480 × 139,480
  4. Step 4: Simplify right side
    98,574x = 19,454,670,400
  5. Step 5: Solve for x
    x = 19,454,670,400/98,574
  6. Step 6: Final answer
    x = 197,361.07

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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.