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Finding the Third Proportional to 181,280 and 388,804

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Solution

The third proportional to 181,280 and 388,804 is: 833,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,280 : 388,804 = 388,804 : x
  2. Step 2: Convert to fraction form
    181,280/388,804 = 388,804/x
  3. Step 3: Cross multiply
    181,280x = 388,804 × 388,804
  4. Step 4: Simplify right side
    181,280x = 151,168,550,416
  5. Step 5: Solve for x
    x = 151,168,550,416/181,280
  6. Step 6: Final answer
    x = 833,895.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.