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Finding the Third Proportional to 217,303 and 345,773

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Solution

The third proportional to 217,303 and 345,773 is: 550,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,303 : 345,773 = 345,773 : x
  2. Step 2: Convert to fraction form
    217,303/345,773 = 345,773/x
  3. Step 3: Cross multiply
    217,303x = 345,773 × 345,773
  4. Step 4: Simplify right side
    217,303x = 119,558,967,529
  5. Step 5: Solve for x
    x = 119,558,967,529/217,303
  6. Step 6: Final answer
    x = 550,194.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.