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Finding the Third Proportional to 578,634 and 889,942

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Solution

The third proportional to 578,634 and 889,942 is: 1,368,735.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,634 : 889,942 = 889,942 : x
  2. Step 2: Convert to fraction form
    578,634/889,942 = 889,942/x
  3. Step 3: Cross multiply
    578,634x = 889,942 × 889,942
  4. Step 4: Simplify right side
    578,634x = 791,996,763,364
  5. Step 5: Solve for x
    x = 791,996,763,364/578,634
  6. Step 6: Final answer
    x = 1,368,735.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.