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Finding the Third Proportional to 388,861 and 556,075

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Solution

The third proportional to 388,861 and 556,075 is: 795,192.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,861 : 556,075 = 556,075 : x
  2. Step 2: Convert to fraction form
    388,861/556,075 = 556,075/x
  3. Step 3: Cross multiply
    388,861x = 556,075 × 556,075
  4. Step 4: Simplify right side
    388,861x = 309,219,405,625
  5. Step 5: Solve for x
    x = 309,219,405,625/388,861
  6. Step 6: Final answer
    x = 795,192.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.