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Finding the Third Proportional to 409,738 and 898,206

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Solution

The third proportional to 409,738 and 898,206 is: 1,968,999.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,738 : 898,206 = 898,206 : x
  2. Step 2: Convert to fraction form
    409,738/898,206 = 898,206/x
  3. Step 3: Cross multiply
    409,738x = 898,206 × 898,206
  4. Step 4: Simplify right side
    409,738x = 806,774,018,436
  5. Step 5: Solve for x
    x = 806,774,018,436/409,738
  6. Step 6: Final answer
    x = 1,968,999.75

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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.