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Finding the Third Proportional to 242,258 and 339,476

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Solution

The third proportional to 242,258 and 339,476 is: 475,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,258 : 339,476 = 339,476 : x
  2. Step 2: Convert to fraction form
    242,258/339,476 = 339,476/x
  3. Step 3: Cross multiply
    242,258x = 339,476 × 339,476
  4. Step 4: Simplify right side
    242,258x = 115,243,954,576
  5. Step 5: Solve for x
    x = 115,243,954,576/242,258
  6. Step 6: Final answer
    x = 475,707.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.