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Finding the Third Proportional to 298,436 and 450,534

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Solution

The third proportional to 298,436 and 450,534 is: 680,148.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,436 : 450,534 = 450,534 : x
  2. Step 2: Convert to fraction form
    298,436/450,534 = 450,534/x
  3. Step 3: Cross multiply
    298,436x = 450,534 × 450,534
  4. Step 4: Simplify right side
    298,436x = 202,980,885,156
  5. Step 5: Solve for x
    x = 202,980,885,156/298,436
  6. Step 6: Final answer
    x = 680,148.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.