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Finding the Third Proportional to 143,888 and 293,486

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Solution

The third proportional to 143,888 and 293,486 is: 598,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,888 : 293,486 = 293,486 : x
  2. Step 2: Convert to fraction form
    143,888/293,486 = 293,486/x
  3. Step 3: Cross multiply
    143,888x = 293,486 × 293,486
  4. Step 4: Simplify right side
    143,888x = 86,134,032,196
  5. Step 5: Solve for x
    x = 86,134,032,196/143,888
  6. Step 6: Final answer
    x = 598,618.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.