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Finding the Third Proportional to 142,072 and 306,284

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Solution

The third proportional to 142,072 and 306,284 is: 660,298.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,072 : 306,284 = 306,284 : x
  2. Step 2: Convert to fraction form
    142,072/306,284 = 306,284/x
  3. Step 3: Cross multiply
    142,072x = 306,284 × 306,284
  4. Step 4: Simplify right side
    142,072x = 93,809,888,656
  5. Step 5: Solve for x
    x = 93,809,888,656/142,072
  6. Step 6: Final answer
    x = 660,298.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.