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Finding the Third Proportional to 307,620 and 646,344

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Solution

The third proportional to 307,620 and 646,344 is: 1,358,040.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,620 : 646,344 = 646,344 : x
  2. Step 2: Convert to fraction form
    307,620/646,344 = 646,344/x
  3. Step 3: Cross multiply
    307,620x = 646,344 × 646,344
  4. Step 4: Simplify right side
    307,620x = 417,760,566,336
  5. Step 5: Solve for x
    x = 417,760,566,336/307,620
  6. Step 6: Final answer
    x = 1,358,040.98

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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.