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Finding the Third Proportional to 409,270 and 838,220

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Solution

The third proportional to 409,270 and 838,220 is: 1,716,746.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,270 : 838,220 = 838,220 : x
  2. Step 2: Convert to fraction form
    409,270/838,220 = 838,220/x
  3. Step 3: Cross multiply
    409,270x = 838,220 × 838,220
  4. Step 4: Simplify right side
    409,270x = 702,612,768,400
  5. Step 5: Solve for x
    x = 702,612,768,400/409,270
  6. Step 6: Final answer
    x = 1,716,746.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.