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Finding the Third Proportional to 310,460 and 670,748

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Solution

The third proportional to 310,460 and 670,748 is: 1,449,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,460 : 670,748 = 670,748 : x
  2. Step 2: Convert to fraction form
    310,460/670,748 = 670,748/x
  3. Step 3: Cross multiply
    310,460x = 670,748 × 670,748
  4. Step 4: Simplify right side
    310,460x = 449,902,879,504
  5. Step 5: Solve for x
    x = 449,902,879,504/310,460
  6. Step 6: Final answer
    x = 1,449,149.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.