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Finding the Third Proportional to 153,389 and 328,102

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Solution

The third proportional to 153,389 and 328,102 is: 701,816.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,389 : 328,102 = 328,102 : x
  2. Step 2: Convert to fraction form
    153,389/328,102 = 328,102/x
  3. Step 3: Cross multiply
    153,389x = 328,102 × 328,102
  4. Step 4: Simplify right side
    153,389x = 107,650,922,404
  5. Step 5: Solve for x
    x = 107,650,922,404/153,389
  6. Step 6: Final answer
    x = 701,816.44

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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.