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Finding the Third Proportional to 410,346 and 618,219

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Solution

The third proportional to 410,346 and 618,219 is: 931,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,346 : 618,219 = 618,219 : x
  2. Step 2: Convert to fraction form
    410,346/618,219 = 618,219/x
  3. Step 3: Cross multiply
    410,346x = 618,219 × 618,219
  4. Step 4: Simplify right side
    410,346x = 382,194,731,961
  5. Step 5: Solve for x
    x = 382,194,731,961/410,346
  6. Step 6: Final answer
    x = 931,396.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.