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Finding the Third Proportional to 145,962 and 319,590

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Solution

The third proportional to 145,962 and 319,590 is: 699,755.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,962 : 319,590 = 319,590 : x
  2. Step 2: Convert to fraction form
    145,962/319,590 = 319,590/x
  3. Step 3: Cross multiply
    145,962x = 319,590 × 319,590
  4. Step 4: Simplify right side
    145,962x = 102,137,768,100
  5. Step 5: Solve for x
    x = 102,137,768,100/145,962
  6. Step 6: Final answer
    x = 699,755.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.