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Finding the Third Proportional to 315,119.25 and 476,430

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Solution

The third proportional to 315,119.25 and 476,430 is: 720,316.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,119.25 : 476,430 = 476,430 : x
  2. Step 2: Convert to fraction form
    315,119.25/476,430 = 476,430/x
  3. Step 3: Cross multiply
    315,119.25x = 476,430 × 476,430
  4. Step 4: Simplify right side
    315,119.25x = 226,985,544,900
  5. Step 5: Solve for x
    x = 226,985,544,900/315,119.25
  6. Step 6: Final answer
    x = 720,316.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.