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Finding the Third Proportional to 63,598 and 139,880

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Solution

The third proportional to 63,598 and 139,880 is: 307,657.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,598 : 139,880 = 139,880 : x
  2. Step 2: Convert to fraction form
    63,598/139,880 = 139,880/x
  3. Step 3: Cross multiply
    63,598x = 139,880 × 139,880
  4. Step 4: Simplify right side
    63,598x = 19,566,414,400
  5. Step 5: Solve for x
    x = 19,566,414,400/63,598
  6. Step 6: Final answer
    x = 307,657.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.