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Finding the Third Proportional to 142,398 and 306,828

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Solution

The third proportional to 142,398 and 306,828 is: 661,128.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,398 : 306,828 = 306,828 : x
  2. Step 2: Convert to fraction form
    142,398/306,828 = 306,828/x
  3. Step 3: Cross multiply
    142,398x = 306,828 × 306,828
  4. Step 4: Simplify right side
    142,398x = 94,143,421,584
  5. Step 5: Solve for x
    x = 94,143,421,584/142,398
  6. Step 6: Final answer
    x = 661,128.82

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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.