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Finding the Third Proportional to 135,243 and 293,814

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Solution

The third proportional to 135,243 and 293,814 is: 638,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,243 : 293,814 = 293,814 : x
  2. Step 2: Convert to fraction form
    135,243/293,814 = 293,814/x
  3. Step 3: Cross multiply
    135,243x = 293,814 × 293,814
  4. Step 4: Simplify right side
    135,243x = 86,326,666,596
  5. Step 5: Solve for x
    x = 86,326,666,596/135,243
  6. Step 6: Final answer
    x = 638,307.84

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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.