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Finding the Third Proportional to 156,635 and 235,645

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Solution

The third proportional to 156,635 and 235,645 is: 354,509.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,635 : 235,645 = 235,645 : x
  2. Step 2: Convert to fraction form
    156,635/235,645 = 235,645/x
  3. Step 3: Cross multiply
    156,635x = 235,645 × 235,645
  4. Step 4: Simplify right side
    156,635x = 55,528,566,025
  5. Step 5: Solve for x
    x = 55,528,566,025/156,635
  6. Step 6: Final answer
    x = 354,509.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.