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Finding the Third Proportional to 270,243 and 418,476

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Solution

The third proportional to 270,243 and 418,476 is: 648,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,243 : 418,476 = 418,476 : x
  2. Step 2: Convert to fraction form
    270,243/418,476 = 418,476/x
  3. Step 3: Cross multiply
    270,243x = 418,476 × 418,476
  4. Step 4: Simplify right side
    270,243x = 175,122,162,576
  5. Step 5: Solve for x
    x = 175,122,162,576/270,243
  6. Step 6: Final answer
    x = 648,017.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.