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Finding the Third Proportional to 285,405.75 and 375,377.63

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Solution

The third proportional to 285,405.75 and 375,377.63 is: 493,712.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,405.75 : 375,377.63 = 375,377.63 : x
  2. Step 2: Convert to fraction form
    285,405.75/375,377.63 = 375,377.63/x
  3. Step 3: Cross multiply
    285,405.75x = 375,377.63 × 375,377.63
  4. Step 4: Simplify right side
    285,405.75x = 140,908,361,350.64
  5. Step 5: Solve for x
    x = 140,908,361,350.64/285,405.75
  6. Step 6: Final answer
    x = 493,712.41

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.