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Finding the Third Proportional to 428,600 and 583,772

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Solution

The third proportional to 428,600 and 583,772 is: 795,123.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,600 : 583,772 = 583,772 : x
  2. Step 2: Convert to fraction form
    428,600/583,772 = 583,772/x
  3. Step 3: Cross multiply
    428,600x = 583,772 × 583,772
  4. Step 4: Simplify right side
    428,600x = 340,789,747,984
  5. Step 5: Solve for x
    x = 340,789,747,984/428,600
  6. Step 6: Final answer
    x = 795,123.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.