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Finding the Third Proportional to 141,312 and 212,271

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Solution

The third proportional to 141,312 and 212,271 is: 318,861.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,312 : 212,271 = 212,271 : x
  2. Step 2: Convert to fraction form
    141,312/212,271 = 212,271/x
  3. Step 3: Cross multiply
    141,312x = 212,271 × 212,271
  4. Step 4: Simplify right side
    141,312x = 45,058,977,441
  5. Step 5: Solve for x
    x = 45,058,977,441/141,312
  6. Step 6: Final answer
    x = 318,861.65

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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.