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Finding the Third Proportional to 156,905 and 342,970

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Solution

The third proportional to 156,905 and 342,970 is: 749,679.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,905 : 342,970 = 342,970 : x
  2. Step 2: Convert to fraction form
    156,905/342,970 = 342,970/x
  3. Step 3: Cross multiply
    156,905x = 342,970 × 342,970
  4. Step 4: Simplify right side
    156,905x = 117,628,420,900
  5. Step 5: Solve for x
    x = 117,628,420,900/156,905
  6. Step 6: Final answer
    x = 749,679.24

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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.