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Finding the Third Proportional to 156,972 and 335,490

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Solution

The third proportional to 156,972 and 335,490 is: 717,029.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,972 : 335,490 = 335,490 : x
  2. Step 2: Convert to fraction form
    156,972/335,490 = 335,490/x
  3. Step 3: Cross multiply
    156,972x = 335,490 × 335,490
  4. Step 4: Simplify right side
    156,972x = 112,553,540,100
  5. Step 5: Solve for x
    x = 112,553,540,100/156,972
  6. Step 6: Final answer
    x = 717,029.41

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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.