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Finding the Third Proportional to 307,005 and 645,822

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Solution

The third proportional to 307,005 and 645,822 is: 1,358,564.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,005 : 645,822 = 645,822 : x
  2. Step 2: Convert to fraction form
    307,005/645,822 = 645,822/x
  3. Step 3: Cross multiply
    307,005x = 645,822 × 645,822
  4. Step 4: Simplify right side
    307,005x = 417,086,055,684
  5. Step 5: Solve for x
    x = 417,086,055,684/307,005
  6. Step 6: Final answer
    x = 1,358,564.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.