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Finding the Third Proportional to 213,134 and 312,788

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Solution

The third proportional to 213,134 and 312,788 is: 459,036.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,134 : 312,788 = 312,788 : x
  2. Step 2: Convert to fraction form
    213,134/312,788 = 312,788/x
  3. Step 3: Cross multiply
    213,134x = 312,788 × 312,788
  4. Step 4: Simplify right side
    213,134x = 97,836,332,944
  5. Step 5: Solve for x
    x = 97,836,332,944/213,134
  6. Step 6: Final answer
    x = 459,036.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.