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Finding the Third Proportional to 291,639 and 606,558

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Solution

The third proportional to 291,639 and 606,558 is: 1,261,534.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,639 : 606,558 = 606,558 : x
  2. Step 2: Convert to fraction form
    291,639/606,558 = 606,558/x
  3. Step 3: Cross multiply
    291,639x = 606,558 × 606,558
  4. Step 4: Simplify right side
    291,639x = 367,912,607,364
  5. Step 5: Solve for x
    x = 367,912,607,364/291,639
  6. Step 6: Final answer
    x = 1,261,534.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.