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Finding the Third Proportional to 356,840.50 and 784,654.50

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Solution

The third proportional to 356,840.50 and 784,654.50 is: 1,725,372.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,840.50 : 784,654.50 = 784,654.50 : x
  2. Step 2: Convert to fraction form
    356,840.50/784,654.50 = 784,654.50/x
  3. Step 3: Cross multiply
    356,840.50x = 784,654.50 × 784,654.50
  4. Step 4: Simplify right side
    356,840.50x = 615,682,684,370.25
  5. Step 5: Solve for x
    x = 615,682,684,370.25/356,840.50
  6. Step 6: Final answer
    x = 1,725,372.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.