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Finding the Third Proportional to 578,190 and 889,830

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Solution

The third proportional to 578,190 and 889,830 is: 1,369,441.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,190 : 889,830 = 889,830 : x
  2. Step 2: Convert to fraction form
    578,190/889,830 = 889,830/x
  3. Step 3: Cross multiply
    578,190x = 889,830 × 889,830
  4. Step 4: Simplify right side
    578,190x = 791,797,428,900
  5. Step 5: Solve for x
    x = 791,797,428,900/578,190
  6. Step 6: Final answer
    x = 1,369,441.58

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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.