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Finding the Third Proportional to 280,711.31 and 431,478

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Solution

The third proportional to 280,711.31 and 431,478 is: 663,219.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,711.31 : 431,478 = 431,478 : x
  2. Step 2: Convert to fraction form
    280,711.31/431,478 = 431,478/x
  3. Step 3: Cross multiply
    280,711.31x = 431,478 × 431,478
  4. Step 4: Simplify right side
    280,711.31x = 186,173,264,484
  5. Step 5: Solve for x
    x = 186,173,264,484/280,711.31
  6. Step 6: Final answer
    x = 663,219.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.