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Finding the Third Proportional to 319,651 and 485,307

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Solution

The third proportional to 319,651 and 485,307 is: 736,812.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,651 : 485,307 = 485,307 : x
  2. Step 2: Convert to fraction form
    319,651/485,307 = 485,307/x
  3. Step 3: Cross multiply
    319,651x = 485,307 × 485,307
  4. Step 4: Simplify right side
    319,651x = 235,522,884,249
  5. Step 5: Solve for x
    x = 235,522,884,249/319,651
  6. Step 6: Final answer
    x = 736,812.60

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.