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Finding the Third Proportional to 142,044 and 306,120

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Solution

The third proportional to 142,044 and 306,120 is: 659,721.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,044 : 306,120 = 306,120 : x
  2. Step 2: Convert to fraction form
    142,044/306,120 = 306,120/x
  3. Step 3: Cross multiply
    142,044x = 306,120 × 306,120
  4. Step 4: Simplify right side
    142,044x = 93,709,454,400
  5. Step 5: Solve for x
    x = 93,709,454,400/142,044
  6. Step 6: Final answer
    x = 659,721.31

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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.