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Finding the Third Proportional to 315,398 and 683,284

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Solution

The third proportional to 315,398 and 683,284 is: 1,480,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,398 : 683,284 = 683,284 : x
  2. Step 2: Convert to fraction form
    315,398/683,284 = 683,284/x
  3. Step 3: Cross multiply
    315,398x = 683,284 × 683,284
  4. Step 4: Simplify right side
    315,398x = 466,877,024,656
  5. Step 5: Solve for x
    x = 466,877,024,656/315,398
  6. Step 6: Final answer
    x = 1,480,278.96

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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.