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Finding the Third Proportional to 212,793.60 and 316,175.81

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Solution

The third proportional to 212,793.60 and 316,175.81 is: 469,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,793.60 : 316,175.81 = 316,175.81 : x
  2. Step 2: Convert to fraction form
    212,793.60/316,175.81 = 316,175.81/x
  3. Step 3: Cross multiply
    212,793.60x = 316,175.81 × 316,175.81
  4. Step 4: Simplify right side
    212,793.60x = 99,967,141,168.00
  5. Step 5: Solve for x
    x = 99,967,141,168.00/212,793.60
  6. Step 6: Final answer
    x = 469,784.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.