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Finding the Third Proportional to 138,303 and 301,740

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Solution

The third proportional to 138,303 and 301,740 is: 658,315.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,303 : 301,740 = 301,740 : x
  2. Step 2: Convert to fraction form
    138,303/301,740 = 301,740/x
  3. Step 3: Cross multiply
    138,303x = 301,740 × 301,740
  4. Step 4: Simplify right side
    138,303x = 91,047,027,600
  5. Step 5: Solve for x
    x = 91,047,027,600/138,303
  6. Step 6: Final answer
    x = 658,315.64

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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.