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Finding the Third Proportional to 305,728 and 472,416

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Solution

The third proportional to 305,728 and 472,416 is: 729,985.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,728 : 472,416 = 472,416 : x
  2. Step 2: Convert to fraction form
    305,728/472,416 = 472,416/x
  3. Step 3: Cross multiply
    305,728x = 472,416 × 472,416
  4. Step 4: Simplify right side
    305,728x = 223,176,877,056
  5. Step 5: Solve for x
    x = 223,176,877,056/305,728
  6. Step 6: Final answer
    x = 729,985.08

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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.