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Finding the Third Proportional to 320,253 and 689,988

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Solution

The third proportional to 320,253 and 689,988 is: 1,486,585.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,253 : 689,988 = 689,988 : x
  2. Step 2: Convert to fraction form
    320,253/689,988 = 689,988/x
  3. Step 3: Cross multiply
    320,253x = 689,988 × 689,988
  4. Step 4: Simplify right side
    320,253x = 476,083,440,144
  5. Step 5: Solve for x
    x = 476,083,440,144/320,253
  6. Step 6: Final answer
    x = 1,486,585.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.