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Finding the Third Proportional to 145,104 and 318,720

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Solution

The third proportional to 145,104 and 318,720 is: 700,066.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,104 : 318,720 = 318,720 : x
  2. Step 2: Convert to fraction form
    145,104/318,720 = 318,720/x
  3. Step 3: Cross multiply
    145,104x = 318,720 × 318,720
  4. Step 4: Simplify right side
    145,104x = 101,582,438,400
  5. Step 5: Solve for x
    x = 101,582,438,400/145,104
  6. Step 6: Final answer
    x = 700,066.42

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.