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Finding the Third Proportional to 314,112 and 683,520

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Solution

The third proportional to 314,112 and 683,520 is: 1,487,366.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,112 : 683,520 = 683,520 : x
  2. Step 2: Convert to fraction form
    314,112/683,520 = 683,520/x
  3. Step 3: Cross multiply
    314,112x = 683,520 × 683,520
  4. Step 4: Simplify right side
    314,112x = 467,199,590,400
  5. Step 5: Solve for x
    x = 467,199,590,400/314,112
  6. Step 6: Final answer
    x = 1,487,366.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.