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Finding the Third Proportional to 213,432 and 286,416

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Solution

The third proportional to 213,432 and 286,416 is: 384,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,432 : 286,416 = 286,416 : x
  2. Step 2: Convert to fraction form
    213,432/286,416 = 286,416/x
  3. Step 3: Cross multiply
    213,432x = 286,416 × 286,416
  4. Step 4: Simplify right side
    213,432x = 82,034,125,056
  5. Step 5: Solve for x
    x = 82,034,125,056/213,432
  6. Step 6: Final answer
    x = 384,357.20

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.