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Finding the Third Proportional to 280,210.50 and 385,323.75

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Solution

The third proportional to 280,210.50 and 385,323.75 is: 529,867.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,210.50 : 385,323.75 = 385,323.75 : x
  2. Step 2: Convert to fraction form
    280,210.50/385,323.75 = 385,323.75/x
  3. Step 3: Cross multiply
    280,210.50x = 385,323.75 × 385,323.75
  4. Step 4: Simplify right side
    280,210.50x = 148,474,392,314.06
  5. Step 5: Solve for x
    x = 148,474,392,314.06/280,210.50
  6. Step 6: Final answer
    x = 529,867.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.