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Finding the Third Proportional to 280,264.50 and 402,900.75

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Solution

The third proportional to 280,264.50 and 402,900.75 is: 579,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,264.50 : 402,900.75 = 402,900.75 : x
  2. Step 2: Convert to fraction form
    280,264.50/402,900.75 = 402,900.75/x
  3. Step 3: Cross multiply
    280,264.50x = 402,900.75 × 402,900.75
  4. Step 4: Simplify right side
    280,264.50x = 162,329,014,350.56
  5. Step 5: Solve for x
    x = 162,329,014,350.56/280,264.50
  6. Step 6: Final answer
    x = 579,199.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.