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Finding the Third Proportional to 254,380.50 and 402,711.75

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Solution

The third proportional to 254,380.50 and 402,711.75 is: 637,536.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,380.50 : 402,711.75 = 402,711.75 : x
  2. Step 2: Convert to fraction form
    254,380.50/402,711.75 = 402,711.75/x
  3. Step 3: Cross multiply
    254,380.50x = 402,711.75 × 402,711.75
  4. Step 4: Simplify right side
    254,380.50x = 162,176,753,588.06
  5. Step 5: Solve for x
    x = 162,176,753,588.06/254,380.50
  6. Step 6: Final answer
    x = 637,536.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.