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Finding the Third Proportional to 216,178 and 323,402

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Solution

The third proportional to 216,178 and 323,402 is: 483,808.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,178 : 323,402 = 323,402 : x
  2. Step 2: Convert to fraction form
    216,178/323,402 = 323,402/x
  3. Step 3: Cross multiply
    216,178x = 323,402 × 323,402
  4. Step 4: Simplify right side
    216,178x = 104,588,853,604
  5. Step 5: Solve for x
    x = 104,588,853,604/216,178
  6. Step 6: Final answer
    x = 483,808.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.