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Finding the Third Proportional to 153,397 and 328,652

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Solution

The third proportional to 153,397 and 328,652 is: 704,134.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,397 : 328,652 = 328,652 : x
  2. Step 2: Convert to fraction form
    153,397/328,652 = 328,652/x
  3. Step 3: Cross multiply
    153,397x = 328,652 × 328,652
  4. Step 4: Simplify right side
    153,397x = 108,012,137,104
  5. Step 5: Solve for x
    x = 108,012,137,104/153,397
  6. Step 6: Final answer
    x = 704,134.61

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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.