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Finding the Third Proportional to 413,928 and 623,313

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Solution

The third proportional to 413,928 and 623,313 is: 938,615.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,928 : 623,313 = 623,313 : x
  2. Step 2: Convert to fraction form
    413,928/623,313 = 623,313/x
  3. Step 3: Cross multiply
    413,928x = 623,313 × 623,313
  4. Step 4: Simplify right side
    413,928x = 388,519,095,969
  5. Step 5: Solve for x
    x = 388,519,095,969/413,928
  6. Step 6: Final answer
    x = 938,615.16

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.