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Finding the Third Proportional to 295,806 and 646,830

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Solution

The third proportional to 295,806 and 646,830 is: 1,414,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,806 : 646,830 = 646,830 : x
  2. Step 2: Convert to fraction form
    295,806/646,830 = 646,830/x
  3. Step 3: Cross multiply
    295,806x = 646,830 × 646,830
  4. Step 4: Simplify right side
    295,806x = 418,389,048,900
  5. Step 5: Solve for x
    x = 418,389,048,900/295,806
  6. Step 6: Final answer
    x = 1,414,403.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.