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Finding the Third Proportional to 56,438 and 120,376

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Solution

The third proportional to 56,438 and 120,376 is: 256,748.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,438 : 120,376 = 120,376 : x
  2. Step 2: Convert to fraction form
    56,438/120,376 = 120,376/x
  3. Step 3: Cross multiply
    56,438x = 120,376 × 120,376
  4. Step 4: Simplify right side
    56,438x = 14,490,381,376
  5. Step 5: Solve for x
    x = 14,490,381,376/56,438
  6. Step 6: Final answer
    x = 256,748.67

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.