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Finding the Third Proportional to 319,698 and 480,362

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Solution

The third proportional to 319,698 and 480,362 is: 721,767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,698 : 480,362 = 480,362 : x
  2. Step 2: Convert to fraction form
    319,698/480,362 = 480,362/x
  3. Step 3: Cross multiply
    319,698x = 480,362 × 480,362
  4. Step 4: Simplify right side
    319,698x = 230,747,651,044
  5. Step 5: Solve for x
    x = 230,747,651,044/319,698
  6. Step 6: Final answer
    x = 721,767.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.