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Finding the Third Proportional to 314,218 and 664,830

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Solution

The third proportional to 314,218 and 664,830 is: 1,406,663.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,218 : 664,830 = 664,830 : x
  2. Step 2: Convert to fraction form
    314,218/664,830 = 664,830/x
  3. Step 3: Cross multiply
    314,218x = 664,830 × 664,830
  4. Step 4: Simplify right side
    314,218x = 441,998,928,900
  5. Step 5: Solve for x
    x = 441,998,928,900/314,218
  6. Step 6: Final answer
    x = 1,406,663.30

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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.