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Finding the Third Proportional to 142,638 and 306,336

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Solution

The third proportional to 142,638 and 306,336 is: 657,901.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,638 : 306,336 = 306,336 : x
  2. Step 2: Convert to fraction form
    142,638/306,336 = 306,336/x
  3. Step 3: Cross multiply
    142,638x = 306,336 × 306,336
  4. Step 4: Simplify right side
    142,638x = 93,841,744,896
  5. Step 5: Solve for x
    x = 93,841,744,896/142,638
  6. Step 6: Final answer
    x = 657,901.44

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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.