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Finding the Third Proportional to 515,139.75 and 757,279.13

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Solution

The third proportional to 515,139.75 and 757,279.13 is: 1,113,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,139.75 : 757,279.13 = 757,279.13 : x
  2. Step 2: Convert to fraction form
    515,139.75/757,279.13 = 757,279.13/x
  3. Step 3: Cross multiply
    515,139.75x = 757,279.13 × 757,279.13
  4. Step 4: Simplify right side
    515,139.75x = 573,471,673,160.77
  5. Step 5: Solve for x
    x = 573,471,673,160.77/515,139.75
  6. Step 6: Final answer
    x = 1,113,235.14

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.