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Finding the Third Proportional to 216,186 and 345,354

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Solution

The third proportional to 216,186 and 345,354 is: 551,698.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,186 : 345,354 = 345,354 : x
  2. Step 2: Convert to fraction form
    216,186/345,354 = 345,354/x
  3. Step 3: Cross multiply
    216,186x = 345,354 × 345,354
  4. Step 4: Simplify right side
    216,186x = 119,269,385,316
  5. Step 5: Solve for x
    x = 119,269,385,316/216,186
  6. Step 6: Final answer
    x = 551,698.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.