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Finding the Third Proportional to 316,636 and 646,186

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Solution

The third proportional to 316,636 and 646,186 is: 1,318,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,636 : 646,186 = 646,186 : x
  2. Step 2: Convert to fraction form
    316,636/646,186 = 646,186/x
  3. Step 3: Cross multiply
    316,636x = 646,186 × 646,186
  4. Step 4: Simplify right side
    316,636x = 417,556,346,596
  5. Step 5: Solve for x
    x = 417,556,346,596/316,636
  6. Step 6: Final answer
    x = 1,318,726.70

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.