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Finding the Third Proportional to 133,476 and 293,952

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Solution

The third proportional to 133,476 and 293,952 is: 647,365.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,476 : 293,952 = 293,952 : x
  2. Step 2: Convert to fraction form
    133,476/293,952 = 293,952/x
  3. Step 3: Cross multiply
    133,476x = 293,952 × 293,952
  4. Step 4: Simplify right side
    133,476x = 86,407,778,304
  5. Step 5: Solve for x
    x = 86,407,778,304/133,476
  6. Step 6: Final answer
    x = 647,365.66

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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.