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Finding the Third Proportional to 261,648 and 573,120

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Solution

The third proportional to 261,648 and 573,120 is: 1,255,375.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,648 : 573,120 = 573,120 : x
  2. Step 2: Convert to fraction form
    261,648/573,120 = 573,120/x
  3. Step 3: Cross multiply
    261,648x = 573,120 × 573,120
  4. Step 4: Simplify right side
    261,648x = 328,466,534,400
  5. Step 5: Solve for x
    x = 328,466,534,400/261,648
  6. Step 6: Final answer
    x = 1,255,375.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.