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Finding the Third Proportional to 68,913 and 148,383

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Solution

The third proportional to 68,913 and 148,383 is: 319,497.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,913 : 148,383 = 148,383 : x
  2. Step 2: Convert to fraction form
    68,913/148,383 = 148,383/x
  3. Step 3: Cross multiply
    68,913x = 148,383 × 148,383
  4. Step 4: Simplify right side
    68,913x = 22,017,514,689
  5. Step 5: Solve for x
    x = 22,017,514,689/68,913
  6. Step 6: Final answer
    x = 319,497.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.