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Finding the Third Proportional to 306,112 and 482,645

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Solution

The third proportional to 306,112 and 482,645 is: 760,983.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,112 : 482,645 = 482,645 : x
  2. Step 2: Convert to fraction form
    306,112/482,645 = 482,645/x
  3. Step 3: Cross multiply
    306,112x = 482,645 × 482,645
  4. Step 4: Simplify right side
    306,112x = 232,946,196,025
  5. Step 5: Solve for x
    x = 232,946,196,025/306,112
  6. Step 6: Final answer
    x = 760,983.55

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.