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Finding the Third Proportional to 255,623 and 537,680

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Solution

The third proportional to 255,623 and 537,680 is: 1,130,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,623 : 537,680 = 537,680 : x
  2. Step 2: Convert to fraction form
    255,623/537,680 = 537,680/x
  3. Step 3: Cross multiply
    255,623x = 537,680 × 537,680
  4. Step 4: Simplify right side
    255,623x = 289,099,782,400
  5. Step 5: Solve for x
    x = 289,099,782,400/255,623
  6. Step 6: Final answer
    x = 1,130,961.54

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.