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Finding the Third Proportional to 306,036 and 472,716

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Solution

The third proportional to 306,036 and 472,716 is: 730,176.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,036 : 472,716 = 472,716 : x
  2. Step 2: Convert to fraction form
    306,036/472,716 = 472,716/x
  3. Step 3: Cross multiply
    306,036x = 472,716 × 472,716
  4. Step 4: Simplify right side
    306,036x = 223,460,416,656
  5. Step 5: Solve for x
    x = 223,460,416,656/306,036
  6. Step 6: Final answer
    x = 730,176.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.