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Finding the Third Proportional to 153,964 and 320,020

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Solution

The third proportional to 153,964 and 320,020 is: 665,173.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,964 : 320,020 = 320,020 : x
  2. Step 2: Convert to fraction form
    153,964/320,020 = 320,020/x
  3. Step 3: Cross multiply
    153,964x = 320,020 × 320,020
  4. Step 4: Simplify right side
    153,964x = 102,412,800,400
  5. Step 5: Solve for x
    x = 102,412,800,400/153,964
  6. Step 6: Final answer
    x = 665,173.68

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.