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Finding the Third Proportional to 156,688 and 321,673

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Solution

The third proportional to 156,688 and 321,673 is: 660,379.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,688 : 321,673 = 321,673 : x
  2. Step 2: Convert to fraction form
    156,688/321,673 = 321,673/x
  3. Step 3: Cross multiply
    156,688x = 321,673 × 321,673
  4. Step 4: Simplify right side
    156,688x = 103,473,518,929
  5. Step 5: Solve for x
    x = 103,473,518,929/156,688
  6. Step 6: Final answer
    x = 660,379.35

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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.