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Finding the Third Proportional to 135,411 and 293,421

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Solution

The third proportional to 135,411 and 293,421 is: 635,811.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,411 : 293,421 = 293,421 : x
  2. Step 2: Convert to fraction form
    135,411/293,421 = 293,421/x
  3. Step 3: Cross multiply
    135,411x = 293,421 × 293,421
  4. Step 4: Simplify right side
    135,411x = 86,095,883,241
  5. Step 5: Solve for x
    x = 86,095,883,241/135,411
  6. Step 6: Final answer
    x = 635,811.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.