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Finding the Third Proportional to 142,080 and 306,296

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Solution

The third proportional to 142,080 and 306,296 is: 660,312.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,080 : 306,296 = 306,296 : x
  2. Step 2: Convert to fraction form
    142,080/306,296 = 306,296/x
  3. Step 3: Cross multiply
    142,080x = 306,296 × 306,296
  4. Step 4: Simplify right side
    142,080x = 93,817,239,616
  5. Step 5: Solve for x
    x = 93,817,239,616/142,080
  6. Step 6: Final answer
    x = 660,312.78

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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.