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Finding the Third Proportional to 310,146.19 and 478,819.69

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Solution

The third proportional to 310,146.19 and 478,819.69 is: 739,226.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,146.19 : 478,819.69 = 478,819.69 : x
  2. Step 2: Convert to fraction form
    310,146.19/478,819.69 = 478,819.69/x
  3. Step 3: Cross multiply
    310,146.19x = 478,819.69 × 478,819.69
  4. Step 4: Simplify right side
    310,146.19x = 229,268,293,137.60
  5. Step 5: Solve for x
    x = 229,268,293,137.60/310,146.19
  6. Step 6: Final answer
    x = 739,226.54

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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.