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Finding the Third Proportional to 153,444 and 328,208

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Solution

The third proportional to 153,444 and 328,208 is: 702,018.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,444 : 328,208 = 328,208 : x
  2. Step 2: Convert to fraction form
    153,444/328,208 = 328,208/x
  3. Step 3: Cross multiply
    153,444x = 328,208 × 328,208
  4. Step 4: Simplify right side
    153,444x = 107,720,491,264
  5. Step 5: Solve for x
    x = 107,720,491,264/153,444
  6. Step 6: Final answer
    x = 702,018.27

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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.