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Finding the Third Proportional to 312,902 and 664,588

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Solution

The third proportional to 312,902 and 664,588 is: 1,411,551.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,902 : 664,588 = 664,588 : x
  2. Step 2: Convert to fraction form
    312,902/664,588 = 664,588/x
  3. Step 3: Cross multiply
    312,902x = 664,588 × 664,588
  4. Step 4: Simplify right side
    312,902x = 441,677,209,744
  5. Step 5: Solve for x
    x = 441,677,209,744/312,902
  6. Step 6: Final answer
    x = 1,411,551.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.