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Finding the Third Proportional to 212,382 and 456,246

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Solution

The third proportional to 212,382 and 456,246 is: 980,122.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,382 : 456,246 = 456,246 : x
  2. Step 2: Convert to fraction form
    212,382/456,246 = 456,246/x
  3. Step 3: Cross multiply
    212,382x = 456,246 × 456,246
  4. Step 4: Simplify right side
    212,382x = 208,160,412,516
  5. Step 5: Solve for x
    x = 208,160,412,516/212,382
  6. Step 6: Final answer
    x = 980,122.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.