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Finding the Third Proportional to 156,007.50 and 319,407.75

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Solution

The third proportional to 156,007.50 and 319,407.75 is: 653,951.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,007.50 : 319,407.75 = 319,407.75 : x
  2. Step 2: Convert to fraction form
    156,007.50/319,407.75 = 319,407.75/x
  3. Step 3: Cross multiply
    156,007.50x = 319,407.75 × 319,407.75
  4. Step 4: Simplify right side
    156,007.50x = 102,021,310,760.06
  5. Step 5: Solve for x
    x = 102,021,310,760.06/156,007.50
  6. Step 6: Final answer
    x = 653,951.32

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.