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Finding the Third Proportional to 251,515.13 and 380,522.81

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Solution

The third proportional to 251,515.13 and 380,522.81 is: 575,701.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,515.13 : 380,522.81 = 380,522.81 : x
  2. Step 2: Convert to fraction form
    251,515.13/380,522.81 = 380,522.81/x
  3. Step 3: Cross multiply
    251,515.13x = 380,522.81 × 380,522.81
  4. Step 4: Simplify right side
    251,515.13x = 144,797,610,832.91
  5. Step 5: Solve for x
    x = 144,797,610,832.91/251,515.13
  6. Step 6: Final answer
    x = 575,701.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.