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Finding the Third Proportional to 319,939.50 and 700,143

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Solution

The third proportional to 319,939.50 and 700,143 is: 1,532,165.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,939.50 : 700,143 = 700,143 : x
  2. Step 2: Convert to fraction form
    319,939.50/700,143 = 700,143/x
  3. Step 3: Cross multiply
    319,939.50x = 700,143 × 700,143
  4. Step 4: Simplify right side
    319,939.50x = 490,200,220,449
  5. Step 5: Solve for x
    x = 490,200,220,449/319,939.50
  6. Step 6: Final answer
    x = 1,532,165.36

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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.