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Finding the Third Proportional to 304,544 and 455,136

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Solution

The third proportional to 304,544 and 455,136 is: 680,193.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,544 : 455,136 = 455,136 : x
  2. Step 2: Convert to fraction form
    304,544/455,136 = 455,136/x
  3. Step 3: Cross multiply
    304,544x = 455,136 × 455,136
  4. Step 4: Simplify right side
    304,544x = 207,148,778,496
  5. Step 5: Solve for x
    x = 207,148,778,496/304,544
  6. Step 6: Final answer
    x = 680,193.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.