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Finding the Third Proportional to 393,136 and 623,480

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Solution

The third proportional to 393,136 and 623,480 is: 988,785.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,136 : 623,480 = 623,480 : x
  2. Step 2: Convert to fraction form
    393,136/623,480 = 623,480/x
  3. Step 3: Cross multiply
    393,136x = 623,480 × 623,480
  4. Step 4: Simplify right side
    393,136x = 388,727,310,400
  5. Step 5: Solve for x
    x = 388,727,310,400/393,136
  6. Step 6: Final answer
    x = 988,785.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.