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Finding the Third Proportional to 319,180 and 472,590

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Solution

The third proportional to 319,180 and 472,590 is: 699,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,180 : 472,590 = 472,590 : x
  2. Step 2: Convert to fraction form
    319,180/472,590 = 472,590/x
  3. Step 3: Cross multiply
    319,180x = 472,590 × 472,590
  4. Step 4: Simplify right side
    319,180x = 223,341,308,100
  5. Step 5: Solve for x
    x = 223,341,308,100/319,180
  6. Step 6: Final answer
    x = 699,734.66

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.