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Finding the Third Proportional to 142,328 and 306,648

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Solution

The third proportional to 142,328 and 306,648 is: 660,678.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,328 : 306,648 = 306,648 : x
  2. Step 2: Convert to fraction form
    142,328/306,648 = 306,648/x
  3. Step 3: Cross multiply
    142,328x = 306,648 × 306,648
  4. Step 4: Simplify right side
    142,328x = 94,032,995,904
  5. Step 5: Solve for x
    x = 94,032,995,904/142,328
  6. Step 6: Final answer
    x = 660,678.12

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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.