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Finding the Third Proportional to 64,553 and 139,303

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Solution

The third proportional to 64,553 and 139,303 is: 300,610.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,553 : 139,303 = 139,303 : x
  2. Step 2: Convert to fraction form
    64,553/139,303 = 139,303/x
  3. Step 3: Cross multiply
    64,553x = 139,303 × 139,303
  4. Step 4: Simplify right side
    64,553x = 19,405,325,809
  5. Step 5: Solve for x
    x = 19,405,325,809/64,553
  6. Step 6: Final answer
    x = 300,610.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.