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Finding the Third Proportional to 295,619 and 646,445

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Solution

The third proportional to 295,619 and 646,445 is: 1,413,613.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,619 : 646,445 = 646,445 : x
  2. Step 2: Convert to fraction form
    295,619/646,445 = 646,445/x
  3. Step 3: Cross multiply
    295,619x = 646,445 × 646,445
  4. Step 4: Simplify right side
    295,619x = 417,891,138,025
  5. Step 5: Solve for x
    x = 417,891,138,025/295,619
  6. Step 6: Final answer
    x = 1,413,613.94

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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.