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Finding the Third Proportional to 282,407.34 and 430,236.56

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Solution

The third proportional to 282,407.34 and 430,236.56 is: 655,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,407.34 : 430,236.56 = 430,236.56 : x
  2. Step 2: Convert to fraction form
    282,407.34/430,236.56 = 430,236.56/x
  3. Step 3: Cross multiply
    282,407.34x = 430,236.56 × 430,236.56
  4. Step 4: Simplify right side
    282,407.34x = 185,103,499,711.82
  5. Step 5: Solve for x
    x = 185,103,499,711.82/282,407.34
  6. Step 6: Final answer
    x = 655,448.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.