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Finding the Third Proportional to 290,409.08 and 629,075.18

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Solution

The third proportional to 290,409.08 and 629,075.18 is: 1,362,683.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,409.08 : 629,075.18 = 629,075.18 : x
  2. Step 2: Convert to fraction form
    290,409.08/629,075.18 = 629,075.18/x
  3. Step 3: Cross multiply
    290,409.08x = 629,075.18 × 629,075.18
  4. Step 4: Simplify right side
    290,409.08x = 395,735,581,698.86
  5. Step 5: Solve for x
    x = 395,735,581,698.86/290,409.08
  6. Step 6: Final answer
    x = 1,362,683.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.