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Finding the Third Proportional to 321,374 and 613,588

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Solution

The third proportional to 321,374 and 613,588 is: 1,171,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,374 : 613,588 = 613,588 : x
  2. Step 2: Convert to fraction form
    321,374/613,588 = 613,588/x
  3. Step 3: Cross multiply
    321,374x = 613,588 × 613,588
  4. Step 4: Simplify right side
    321,374x = 376,490,233,744
  5. Step 5: Solve for x
    x = 376,490,233,744/321,374
  6. Step 6: Final answer
    x = 1,171,501.84

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.