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Finding the Third Proportional to 104,358 and 139,807

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Solution

The third proportional to 104,358 and 139,807 is: 187,297.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,358 : 139,807 = 139,807 : x
  2. Step 2: Convert to fraction form
    104,358/139,807 = 139,807/x
  3. Step 3: Cross multiply
    104,358x = 139,807 × 139,807
  4. Step 4: Simplify right side
    104,358x = 19,545,997,249
  5. Step 5: Solve for x
    x = 19,545,997,249/104,358
  6. Step 6: Final answer
    x = 187,297.55

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.