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Finding the Third Proportional to 354,678 and 478,521

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Solution

The third proportional to 354,678 and 478,521 is: 645,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,678 : 478,521 = 478,521 : x
  2. Step 2: Convert to fraction form
    354,678/478,521 = 478,521/x
  3. Step 3: Cross multiply
    354,678x = 478,521 × 478,521
  4. Step 4: Simplify right side
    354,678x = 228,982,347,441
  5. Step 5: Solve for x
    x = 228,982,347,441/354,678
  6. Step 6: Final answer
    x = 645,606.29

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.