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Finding the Third Proportional to 315,071 and 683,655

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Solution

The third proportional to 315,071 and 683,655 is: 1,483,424.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,071 : 683,655 = 683,655 : x
  2. Step 2: Convert to fraction form
    315,071/683,655 = 683,655/x
  3. Step 3: Cross multiply
    315,071x = 683,655 × 683,655
  4. Step 4: Simplify right side
    315,071x = 467,384,159,025
  5. Step 5: Solve for x
    x = 467,384,159,025/315,071
  6. Step 6: Final answer
    x = 1,483,424.88

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.