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Finding the Third Proportional to 405,826.13 and 642,580.88

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Solution

The third proportional to 405,826.13 and 642,580.88 is: 1,017,455.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,826.13 : 642,580.88 = 642,580.88 : x
  2. Step 2: Convert to fraction form
    405,826.13/642,580.88 = 642,580.88/x
  3. Step 3: Cross multiply
    405,826.13x = 642,580.88 × 642,580.88
  4. Step 4: Simplify right side
    405,826.13x = 412,910,180,915.77
  5. Step 5: Solve for x
    x = 412,910,180,915.77/405,826.13
  6. Step 6: Final answer
    x = 1,017,455.89

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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.