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Finding the Third Proportional to 388,844 and 556,048

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Solution

The third proportional to 388,844 and 556,048 is: 795,150.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,844 : 556,048 = 556,048 : x
  2. Step 2: Convert to fraction form
    388,844/556,048 = 556,048/x
  3. Step 3: Cross multiply
    388,844x = 556,048 × 556,048
  4. Step 4: Simplify right side
    388,844x = 309,189,378,304
  5. Step 5: Solve for x
    x = 309,189,378,304/388,844
  6. Step 6: Final answer
    x = 795,150.18

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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.