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Finding the Third Proportional to 315,360 and 471,804

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Solution

The third proportional to 315,360 and 471,804 is: 705,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,360 : 471,804 = 471,804 : x
  2. Step 2: Convert to fraction form
    315,360/471,804 = 471,804/x
  3. Step 3: Cross multiply
    315,360x = 471,804 × 471,804
  4. Step 4: Simplify right side
    315,360x = 222,599,014,416
  5. Step 5: Solve for x
    x = 222,599,014,416/315,360
  6. Step 6: Final answer
    x = 705,856.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.