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Finding the Third Proportional to 316,623 and 646,165

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Solution

The third proportional to 316,623 and 646,165 is: 1,318,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,623 : 646,165 = 646,165 : x
  2. Step 2: Convert to fraction form
    316,623/646,165 = 646,165/x
  3. Step 3: Cross multiply
    316,623x = 646,165 × 646,165
  4. Step 4: Simplify right side
    316,623x = 417,529,207,225
  5. Step 5: Solve for x
    x = 417,529,207,225/316,623
  6. Step 6: Final answer
    x = 1,318,695.13

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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.