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Finding the Third Proportional to 305,423 and 478,728

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Solution

The third proportional to 305,423 and 478,728 is: 750,370.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,423 : 478,728 = 478,728 : x
  2. Step 2: Convert to fraction form
    305,423/478,728 = 478,728/x
  3. Step 3: Cross multiply
    305,423x = 478,728 × 478,728
  4. Step 4: Simplify right side
    305,423x = 229,180,497,984
  5. Step 5: Solve for x
    x = 229,180,497,984/305,423
  6. Step 6: Final answer
    x = 750,370.79

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.