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Finding the Third Proportional to 319,116 and 648,696

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Solution

The third proportional to 319,116 and 648,696 is: 1,318,663.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,116 : 648,696 = 648,696 : x
  2. Step 2: Convert to fraction form
    319,116/648,696 = 648,696/x
  3. Step 3: Cross multiply
    319,116x = 648,696 × 648,696
  4. Step 4: Simplify right side
    319,116x = 420,806,500,416
  5. Step 5: Solve for x
    x = 420,806,500,416/319,116
  6. Step 6: Final answer
    x = 1,318,663.12

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.