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Finding the Third Proportional to 197,550 and 306,354

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Solution

The third proportional to 197,550 and 306,354 is: 475,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,550 : 306,354 = 306,354 : x
  2. Step 2: Convert to fraction form
    197,550/306,354 = 306,354/x
  3. Step 3: Cross multiply
    197,550x = 306,354 × 306,354
  4. Step 4: Simplify right side
    197,550x = 93,852,773,316
  5. Step 5: Solve for x
    x = 93,852,773,316/197,550
  6. Step 6: Final answer
    x = 475,083.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.