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Finding the Third Proportional to 153,463 and 328,243

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Solution

The third proportional to 153,463 and 328,243 is: 702,081.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,463 : 328,243 = 328,243 : x
  2. Step 2: Convert to fraction form
    153,463/328,243 = 328,243/x
  3. Step 3: Cross multiply
    153,463x = 328,243 × 328,243
  4. Step 4: Simplify right side
    153,463x = 107,743,467,049
  5. Step 5: Solve for x
    x = 107,743,467,049/153,463
  6. Step 6: Final answer
    x = 702,081.07

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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.