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Finding the Third Proportional to 212,696.63 and 329,501.81

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Solution

The third proportional to 212,696.63 and 329,501.81 is: 510,452.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,696.63 : 329,501.81 = 329,501.81 : x
  2. Step 2: Convert to fraction form
    212,696.63/329,501.81 = 329,501.81/x
  3. Step 3: Cross multiply
    212,696.63x = 329,501.81 × 329,501.81
  4. Step 4: Simplify right side
    212,696.63x = 108,571,444,440.79
  5. Step 5: Solve for x
    x = 108,571,444,440.79/212,696.63
  6. Step 6: Final answer
    x = 510,452.13

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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.