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Finding the Third Proportional to 277,780 and 575,252

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Solution

The third proportional to 277,780 and 575,252 is: 1,191,283.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,780 : 575,252 = 575,252 : x
  2. Step 2: Convert to fraction form
    277,780/575,252 = 575,252/x
  3. Step 3: Cross multiply
    277,780x = 575,252 × 575,252
  4. Step 4: Simplify right side
    277,780x = 330,914,863,504
  5. Step 5: Solve for x
    x = 330,914,863,504/277,780
  6. Step 6: Final answer
    x = 1,191,283.98

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.