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Finding the Third Proportional to 289,839.56 and 400,503.56

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Solution

The third proportional to 289,839.56 and 400,503.56 is: 553,420.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,839.56 : 400,503.56 = 400,503.56 : x
  2. Step 2: Convert to fraction form
    289,839.56/400,503.56 = 400,503.56/x
  3. Step 3: Cross multiply
    289,839.56x = 400,503.56 × 400,503.56
  4. Step 4: Simplify right side
    289,839.56x = 160,403,103,575.19
  5. Step 5: Solve for x
    x = 160,403,103,575.19/289,839.56
  6. Step 6: Final answer
    x = 553,420.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.