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Finding the Third Proportional to 319,277 and 686,988

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Solution

The third proportional to 319,277 and 686,988 is: 1,478,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,277 : 686,988 = 686,988 : x
  2. Step 2: Convert to fraction form
    319,277/686,988 = 686,988/x
  3. Step 3: Cross multiply
    319,277x = 686,988 × 686,988
  4. Step 4: Simplify right side
    319,277x = 471,952,512,144
  5. Step 5: Solve for x
    x = 471,952,512,144/319,277
  6. Step 6: Final answer
    x = 1,478,191.39

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