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Finding the Third Proportional to 109,579 and 235,803

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Solution

The third proportional to 109,579 and 235,803 is: 507,424.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,579 : 235,803 = 235,803 : x
  2. Step 2: Convert to fraction form
    109,579/235,803 = 235,803/x
  3. Step 3: Cross multiply
    109,579x = 235,803 × 235,803
  4. Step 4: Simplify right side
    109,579x = 55,603,054,809
  5. Step 5: Solve for x
    x = 55,603,054,809/109,579
  6. Step 6: Final answer
    x = 507,424.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.