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Finding the Third Proportional to 328,256 and 507,136

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Solution

The third proportional to 328,256 and 507,136 is: 783,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,256 : 507,136 = 507,136 : x
  2. Step 2: Convert to fraction form
    328,256/507,136 = 507,136/x
  3. Step 3: Cross multiply
    328,256x = 507,136 × 507,136
  4. Step 4: Simplify right side
    328,256x = 257,186,922,496
  5. Step 5: Solve for x
    x = 257,186,922,496/328,256
  6. Step 6: Final answer
    x = 783,494.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.