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Finding the Third Proportional to 320,706 and 692,259

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Solution

The third proportional to 320,706 and 692,259 is: 1,494,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,706 : 692,259 = 692,259 : x
  2. Step 2: Convert to fraction form
    320,706/692,259 = 692,259/x
  3. Step 3: Cross multiply
    320,706x = 692,259 × 692,259
  4. Step 4: Simplify right side
    320,706x = 479,222,523,081
  5. Step 5: Solve for x
    x = 479,222,523,081/320,706
  6. Step 6: Final answer
    x = 1,494,273.64

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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.