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Finding the Third Proportional to 198,506 and 307,450

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Solution

The third proportional to 198,506 and 307,450 is: 476,184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,506 : 307,450 = 307,450 : x
  2. Step 2: Convert to fraction form
    198,506/307,450 = 307,450/x
  3. Step 3: Cross multiply
    198,506x = 307,450 × 307,450
  4. Step 4: Simplify right side
    198,506x = 94,525,502,500
  5. Step 5: Solve for x
    x = 94,525,502,500/198,506
  6. Step 6: Final answer
    x = 476,184.61

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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.