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Finding the Third Proportional to 310,397.25 and 480,813

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Solution

The third proportional to 310,397.25 and 480,813 is: 744,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,397.25 : 480,813 = 480,813 : x
  2. Step 2: Convert to fraction form
    310,397.25/480,813 = 480,813/x
  3. Step 3: Cross multiply
    310,397.25x = 480,813 × 480,813
  4. Step 4: Simplify right side
    310,397.25x = 231,181,140,969
  5. Step 5: Solve for x
    x = 231,181,140,969/310,397.25
  6. Step 6: Final answer
    x = 744,791.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.