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Finding the Third Proportional to 98,636 and 139,567

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Solution

The third proportional to 98,636 and 139,567 is: 197,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,636 : 139,567 = 139,567 : x
  2. Step 2: Convert to fraction form
    98,636/139,567 = 139,567/x
  3. Step 3: Cross multiply
    98,636x = 139,567 × 139,567
  4. Step 4: Simplify right side
    98,636x = 19,478,947,489
  5. Step 5: Solve for x
    x = 19,478,947,489/98,636
  6. Step 6: Final answer
    x = 197,483.14

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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.