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Finding the Third Proportional to 98,657 and 139,599

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Solution

The third proportional to 98,657 and 139,599 is: 197,531.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,657 : 139,599 = 139,599 : x
  2. Step 2: Convert to fraction form
    98,657/139,599 = 139,599/x
  3. Step 3: Cross multiply
    98,657x = 139,599 × 139,599
  4. Step 4: Simplify right side
    98,657x = 19,487,880,801
  5. Step 5: Solve for x
    x = 19,487,880,801/98,657
  6. Step 6: Final answer
    x = 197,531.66

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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.