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Finding the Third Proportional to 217,336 and 345,804

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Solution

The third proportional to 217,336 and 345,804 is: 550,209.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,336 : 345,804 = 345,804 : x
  2. Step 2: Convert to fraction form
    217,336/345,804 = 345,804/x
  3. Step 3: Cross multiply
    217,336x = 345,804 × 345,804
  4. Step 4: Simplify right side
    217,336x = 119,580,406,416
  5. Step 5: Solve for x
    x = 119,580,406,416/217,336
  6. Step 6: Final answer
    x = 550,209.84

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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.