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Finding the Third Proportional to 277,712 and 575,116

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Solution

The third proportional to 277,712 and 575,116 is: 1,191,012.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,712 : 575,116 = 575,116 : x
  2. Step 2: Convert to fraction form
    277,712/575,116 = 575,116/x
  3. Step 3: Cross multiply
    277,712x = 575,116 × 575,116
  4. Step 4: Simplify right side
    277,712x = 330,758,413,456
  5. Step 5: Solve for x
    x = 330,758,413,456/277,712
  6. Step 6: Final answer
    x = 1,191,012.32

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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.