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Finding the Third Proportional to 141,915 and 213,465

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Solution

The third proportional to 141,915 and 213,465 is: 321,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,915 : 213,465 = 213,465 : x
  2. Step 2: Convert to fraction form
    141,915/213,465 = 213,465/x
  3. Step 3: Cross multiply
    141,915x = 213,465 × 213,465
  4. Step 4: Simplify right side
    141,915x = 45,567,306,225
  5. Step 5: Solve for x
    x = 45,567,306,225/141,915
  6. Step 6: Final answer
    x = 321,088.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.