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Finding the Third Proportional to 348,564 and 490,848

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Solution

The third proportional to 348,564 and 490,848 is: 691,212.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,564 : 490,848 = 490,848 : x
  2. Step 2: Convert to fraction form
    348,564/490,848 = 490,848/x
  3. Step 3: Cross multiply
    348,564x = 490,848 × 490,848
  4. Step 4: Simplify right side
    348,564x = 240,931,759,104
  5. Step 5: Solve for x
    x = 240,931,759,104/348,564
  6. Step 6: Final answer
    x = 691,212.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.