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Finding the Third Proportional to 598,178 and 1,290,276

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Solution

The third proportional to 598,178 and 1,290,276 is: 2,783,138.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,178 : 1,290,276 = 1,290,276 : x
  2. Step 2: Convert to fraction form
    598,178/1,290,276 = 1,290,276/x
  3. Step 3: Cross multiply
    598,178x = 1,290,276 × 1,290,276
  4. Step 4: Simplify right side
    598,178x = 1,664,812,156,176
  5. Step 5: Solve for x
    x = 1,664,812,156,176/598,178
  6. Step 6: Final answer
    x = 2,783,138.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.