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Finding the Third Proportional to 578,460 and 889,680

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Solution

The third proportional to 578,460 and 889,680 is: 1,368,340.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,460 : 889,680 = 889,680 : x
  2. Step 2: Convert to fraction form
    578,460/889,680 = 889,680/x
  3. Step 3: Cross multiply
    578,460x = 889,680 × 889,680
  4. Step 4: Simplify right side
    578,460x = 791,530,502,400
  5. Step 5: Solve for x
    x = 791,530,502,400/578,460
  6. Step 6: Final answer
    x = 1,368,340.94

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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.