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Finding the Third Proportional to 458,678 and 674,534

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Solution

The third proportional to 458,678 and 674,534 is: 991,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,678 : 674,534 = 674,534 : x
  2. Step 2: Convert to fraction form
    458,678/674,534 = 674,534/x
  3. Step 3: Cross multiply
    458,678x = 674,534 × 674,534
  4. Step 4: Simplify right side
    458,678x = 454,996,117,156
  5. Step 5: Solve for x
    x = 454,996,117,156/458,678
  6. Step 6: Final answer
    x = 991,972.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.