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Finding the Third Proportional to 145,016 and 318,636

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Solution

The third proportional to 145,016 and 318,636 is: 700,122.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,016 : 318,636 = 318,636 : x
  2. Step 2: Convert to fraction form
    145,016/318,636 = 318,636/x
  3. Step 3: Cross multiply
    145,016x = 318,636 × 318,636
  4. Step 4: Simplify right side
    145,016x = 101,528,900,496
  5. Step 5: Solve for x
    x = 101,528,900,496/145,016
  6. Step 6: Final answer
    x = 700,122.06

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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.