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Finding the Third Proportional to 156,190 and 334,980

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Solution

The third proportional to 156,190 and 334,980 is: 718,430.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,190 : 334,980 = 334,980 : x
  2. Step 2: Convert to fraction form
    156,190/334,980 = 334,980/x
  3. Step 3: Cross multiply
    156,190x = 334,980 × 334,980
  4. Step 4: Simplify right side
    156,190x = 112,211,600,400
  5. Step 5: Solve for x
    x = 112,211,600,400/156,190
  6. Step 6: Final answer
    x = 718,430.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.