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Finding the Third Proportional to 314,213 and 664,822

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Solution

The third proportional to 314,213 and 664,822 is: 1,406,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,213 : 664,822 = 664,822 : x
  2. Step 2: Convert to fraction form
    314,213/664,822 = 664,822/x
  3. Step 3: Cross multiply
    314,213x = 664,822 × 664,822
  4. Step 4: Simplify right side
    314,213x = 441,988,291,684
  5. Step 5: Solve for x
    x = 441,988,291,684/314,213
  6. Step 6: Final answer
    x = 1,406,651.83

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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.