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Finding the Third Proportional to 213,319.50 and 343,631.25

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Solution

The third proportional to 213,319.50 and 343,631.25 is: 553,547.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,319.50 : 343,631.25 = 343,631.25 : x
  2. Step 2: Convert to fraction form
    213,319.50/343,631.25 = 343,631.25/x
  3. Step 3: Cross multiply
    213,319.50x = 343,631.25 × 343,631.25
  4. Step 4: Simplify right side
    213,319.50x = 118,082,435,976.56
  5. Step 5: Solve for x
    x = 118,082,435,976.56/213,319.50
  6. Step 6: Final answer
    x = 553,547.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.