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Finding the Third Proportional to 212,962 and 455,472

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Solution

The third proportional to 212,962 and 455,472 is: 974,139.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,962 : 455,472 = 455,472 : x
  2. Step 2: Convert to fraction form
    212,962/455,472 = 455,472/x
  3. Step 3: Cross multiply
    212,962x = 455,472 × 455,472
  4. Step 4: Simplify right side
    212,962x = 207,454,742,784
  5. Step 5: Solve for x
    x = 207,454,742,784/212,962
  6. Step 6: Final answer
    x = 974,139.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.