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Finding the Third Proportional to 212,985.56 and 454,386.94

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Solution

The third proportional to 212,985.56 and 454,386.94 is: 969,396.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,985.56 : 454,386.94 = 454,386.94 : x
  2. Step 2: Convert to fraction form
    212,985.56/454,386.94 = 454,386.94/x
  3. Step 3: Cross multiply
    212,985.56x = 454,386.94 × 454,386.94
  4. Step 4: Simplify right side
    212,985.56x = 206,467,488,970.63
  5. Step 5: Solve for x
    x = 206,467,488,970.63/212,985.56
  6. Step 6: Final answer
    x = 969,396.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.