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Finding the Third Proportional to 68,310 and 148,284

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Solution

The third proportional to 68,310 and 148,284 is: 321,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,310 : 148,284 = 148,284 : x
  2. Step 2: Convert to fraction form
    68,310/148,284 = 148,284/x
  3. Step 3: Cross multiply
    68,310x = 148,284 × 148,284
  4. Step 4: Simplify right side
    68,310x = 21,988,144,656
  5. Step 5: Solve for x
    x = 21,988,144,656/68,310
  6. Step 6: Final answer
    x = 321,887.64

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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.