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Finding the Third Proportional to 400,572.75 and 623,836.13

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Solution

The third proportional to 400,572.75 and 623,836.13 is: 971,537.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,572.75 : 623,836.13 = 623,836.13 : x
  2. Step 2: Convert to fraction form
    400,572.75/623,836.13 = 623,836.13/x
  3. Step 3: Cross multiply
    400,572.75x = 623,836.13 × 623,836.13
  4. Step 4: Simplify right side
    400,572.75x = 389,171,510,855.02
  5. Step 5: Solve for x
    x = 389,171,510,855.02/400,572.75
  6. Step 6: Final answer
    x = 971,537.66

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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.