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Finding the Third Proportional to 270,518 and 578,558

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Solution

The third proportional to 270,518 and 578,558 is: 1,237,364.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,518 : 578,558 = 578,558 : x
  2. Step 2: Convert to fraction form
    270,518/578,558 = 578,558/x
  3. Step 3: Cross multiply
    270,518x = 578,558 × 578,558
  4. Step 4: Simplify right side
    270,518x = 334,729,359,364
  5. Step 5: Solve for x
    x = 334,729,359,364/270,518
  6. Step 6: Final answer
    x = 1,237,364.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.