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Finding the Third Proportional to 308,538 and 492,695

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Solution

The third proportional to 308,538 and 492,695 is: 786,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,538 : 492,695 = 492,695 : x
  2. Step 2: Convert to fraction form
    308,538/492,695 = 492,695/x
  3. Step 3: Cross multiply
    308,538x = 492,695 × 492,695
  4. Step 4: Simplify right side
    308,538x = 242,748,363,025
  5. Step 5: Solve for x
    x = 242,748,363,025/308,538
  6. Step 6: Final answer
    x = 786,769.74

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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.