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Finding the Third Proportional to 413,244.28 and 638,567.72

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Solution

The third proportional to 413,244.28 and 638,567.72 is: 986,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,244.28 : 638,567.72 = 638,567.72 : x
  2. Step 2: Convert to fraction form
    413,244.28/638,567.72 = 638,567.72/x
  3. Step 3: Cross multiply
    413,244.28x = 638,567.72 × 638,567.72
  4. Step 4: Simplify right side
    413,244.28x = 407,768,731,429.58
  5. Step 5: Solve for x
    x = 407,768,731,429.58/413,244.28
  6. Step 6: Final answer
    x = 986,749.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.