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Finding the Third Proportional to 388,110 and 623,168

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Solution

The third proportional to 388,110 and 623,168 is: 1,000,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,110 : 623,168 = 623,168 : x
  2. Step 2: Convert to fraction form
    388,110/623,168 = 623,168/x
  3. Step 3: Cross multiply
    388,110x = 623,168 × 623,168
  4. Step 4: Simplify right side
    388,110x = 388,338,356,224
  5. Step 5: Solve for x
    x = 388,338,356,224/388,110
  6. Step 6: Final answer
    x = 1,000,588.38

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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.