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Finding the Third Proportional to 305,416.50 and 665,043

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Solution

The third proportional to 305,416.50 and 665,043 is: 1,448,128.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,416.50 : 665,043 = 665,043 : x
  2. Step 2: Convert to fraction form
    305,416.50/665,043 = 665,043/x
  3. Step 3: Cross multiply
    305,416.50x = 665,043 × 665,043
  4. Step 4: Simplify right side
    305,416.50x = 442,282,191,849
  5. Step 5: Solve for x
    x = 442,282,191,849/305,416.50
  6. Step 6: Final answer
    x = 1,448,128.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.