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Finding the Third Proportional to 319,062 and 654,516

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Solution

The third proportional to 319,062 and 654,516 is: 1,342,658.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,062 : 654,516 = 654,516 : x
  2. Step 2: Convert to fraction form
    319,062/654,516 = 654,516/x
  3. Step 3: Cross multiply
    319,062x = 654,516 × 654,516
  4. Step 4: Simplify right side
    319,062x = 428,391,194,256
  5. Step 5: Solve for x
    x = 428,391,194,256/319,062
  6. Step 6: Final answer
    x = 1,342,658.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.