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Finding the Third Proportional to 196,680 and 312,716

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Solution

The third proportional to 196,680 and 312,716 is: 497,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,680 : 312,716 = 312,716 : x
  2. Step 2: Convert to fraction form
    196,680/312,716 = 312,716/x
  3. Step 3: Cross multiply
    196,680x = 312,716 × 312,716
  4. Step 4: Simplify right side
    196,680x = 97,791,296,656
  5. Step 5: Solve for x
    x = 97,791,296,656/196,680
  6. Step 6: Final answer
    x = 497,210.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.