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Finding the Third Proportional to 400,656.38 and 623,961.56

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Solution

The third proportional to 400,656.38 and 623,961.56 is: 971,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,656.38 : 623,961.56 = 623,961.56 : x
  2. Step 2: Convert to fraction form
    400,656.38/623,961.56 = 623,961.56/x
  3. Step 3: Cross multiply
    400,656.38x = 623,961.56 × 623,961.56
  4. Step 4: Simplify right side
    400,656.38x = 389,328,031,477.44
  5. Step 5: Solve for x
    x = 389,328,031,477.44/400,656.38
  6. Step 6: Final answer
    x = 971,725.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.