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Finding the Third Proportional to 351,948 and 770,412

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Solution

The third proportional to 351,948 and 770,412 is: 1,686,427.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,948 : 770,412 = 770,412 : x
  2. Step 2: Convert to fraction form
    351,948/770,412 = 770,412/x
  3. Step 3: Cross multiply
    351,948x = 770,412 × 770,412
  4. Step 4: Simplify right side
    351,948x = 593,534,649,744
  5. Step 5: Solve for x
    x = 593,534,649,744/351,948
  6. Step 6: Final answer
    x = 1,686,427.11

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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.