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Finding the Third Proportional to 153,408 and 328,136

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Solution

The third proportional to 153,408 and 328,136 is: 701,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,408 : 328,136 = 328,136 : x
  2. Step 2: Convert to fraction form
    153,408/328,136 = 328,136/x
  3. Step 3: Cross multiply
    153,408x = 328,136 × 328,136
  4. Step 4: Simplify right side
    153,408x = 107,673,234,496
  5. Step 5: Solve for x
    x = 107,673,234,496/153,408
  6. Step 6: Final answer
    x = 701,874.96

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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.