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Finding the Third Proportional to 356,598 and 777,168

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Solution

The third proportional to 356,598 and 777,168 is: 1,693,756.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,598 : 777,168 = 777,168 : x
  2. Step 2: Convert to fraction form
    356,598/777,168 = 777,168/x
  3. Step 3: Cross multiply
    356,598x = 777,168 × 777,168
  4. Step 4: Simplify right side
    356,598x = 603,990,100,224
  5. Step 5: Solve for x
    x = 603,990,100,224/356,598
  6. Step 6: Final answer
    x = 1,693,756.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.