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Finding the Third Proportional to 578,424 and 1,289,652

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Solution

The third proportional to 578,424 and 1,289,652 is: 2,875,403.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,424 : 1,289,652 = 1,289,652 : x
  2. Step 2: Convert to fraction form
    578,424/1,289,652 = 1,289,652/x
  3. Step 3: Cross multiply
    578,424x = 1,289,652 × 1,289,652
  4. Step 4: Simplify right side
    578,424x = 1,663,202,281,104
  5. Step 5: Solve for x
    x = 1,663,202,281,104/578,424
  6. Step 6: Final answer
    x = 2,875,403.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.