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Finding the Third Proportional to 229,509 and 379,278

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Solution

The third proportional to 229,509 and 379,278 is: 626,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,509 : 379,278 = 379,278 : x
  2. Step 2: Convert to fraction form
    229,509/379,278 = 379,278/x
  3. Step 3: Cross multiply
    229,509x = 379,278 × 379,278
  4. Step 4: Simplify right side
    229,509x = 143,851,801,284
  5. Step 5: Solve for x
    x = 143,851,801,284/229,509
  6. Step 6: Final answer
    x = 626,780.65

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.