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Finding the Third Proportional to 168,628 and 390,394

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Solution

The third proportional to 168,628 and 390,394 is: 903,808.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,628 : 390,394 = 390,394 : x
  2. Step 2: Convert to fraction form
    168,628/390,394 = 390,394/x
  3. Step 3: Cross multiply
    168,628x = 390,394 × 390,394
  4. Step 4: Simplify right side
    168,628x = 152,407,475,236
  5. Step 5: Solve for x
    x = 152,407,475,236/168,628
  6. Step 6: Final answer
    x = 903,808.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.