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Finding the Third Proportional to 315,168 and 472,992

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Solution

The third proportional to 315,168 and 472,992 is: 709,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,168 : 472,992 = 472,992 : x
  2. Step 2: Convert to fraction form
    315,168/472,992 = 472,992/x
  3. Step 3: Cross multiply
    315,168x = 472,992 × 472,992
  4. Step 4: Simplify right side
    315,168x = 223,721,432,064
  5. Step 5: Solve for x
    x = 223,721,432,064/315,168
  6. Step 6: Final answer
    x = 709,848.18

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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.