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Finding the Third Proportional to 255,911 and 550,702

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Solution

The third proportional to 255,911 and 550,702 is: 1,185,070.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,911 : 550,702 = 550,702 : x
  2. Step 2: Convert to fraction form
    255,911/550,702 = 550,702/x
  3. Step 3: Cross multiply
    255,911x = 550,702 × 550,702
  4. Step 4: Simplify right side
    255,911x = 303,272,692,804
  5. Step 5: Solve for x
    x = 303,272,692,804/255,911
  6. Step 6: Final answer
    x = 1,185,070.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.