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Finding the Third Proportional to 248,780 and 372,778

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Solution

The third proportional to 248,780 and 372,778 is: 558,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,780 : 372,778 = 372,778 : x
  2. Step 2: Convert to fraction form
    248,780/372,778 = 372,778/x
  3. Step 3: Cross multiply
    248,780x = 372,778 × 372,778
  4. Step 4: Simplify right side
    248,780x = 138,963,437,284
  5. Step 5: Solve for x
    x = 138,963,437,284/248,780
  6. Step 6: Final answer
    x = 558,579.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.