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Finding the Third Proportional to 156,390 and 334,923

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Solution

The third proportional to 156,390 and 334,923 is: 717,267.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,390 : 334,923 = 334,923 : x
  2. Step 2: Convert to fraction form
    156,390/334,923 = 334,923/x
  3. Step 3: Cross multiply
    156,390x = 334,923 × 334,923
  4. Step 4: Simplify right side
    156,390x = 112,173,415,929
  5. Step 5: Solve for x
    x = 112,173,415,929/156,390
  6. Step 6: Final answer
    x = 717,267.19

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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.