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Finding the Third Proportional to 145,918.50 and 319,515

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Solution

The third proportional to 145,918.50 and 319,515 is: 699,636.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,918.50 : 319,515 = 319,515 : x
  2. Step 2: Convert to fraction form
    145,918.50/319,515 = 319,515/x
  3. Step 3: Cross multiply
    145,918.50x = 319,515 × 319,515
  4. Step 4: Simplify right side
    145,918.50x = 102,089,835,225
  5. Step 5: Solve for x
    x = 102,089,835,225/145,918.50
  6. Step 6: Final answer
    x = 699,636.00

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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.