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Finding the Third Proportional to 177,273 and 388,998

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Solution

The third proportional to 177,273 and 388,998 is: 853,595.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,273 : 388,998 = 388,998 : x
  2. Step 2: Convert to fraction form
    177,273/388,998 = 388,998/x
  3. Step 3: Cross multiply
    177,273x = 388,998 × 388,998
  4. Step 4: Simplify right side
    177,273x = 151,319,444,004
  5. Step 5: Solve for x
    x = 151,319,444,004/177,273
  6. Step 6: Final answer
    x = 853,595.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.