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Finding the Third Proportional to 217,875.94 and 515,147.63

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Solution

The third proportional to 217,875.94 and 515,147.63 is: 1,218,019.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,875.94 : 515,147.63 = 515,147.63 : x
  2. Step 2: Convert to fraction form
    217,875.94/515,147.63 = 515,147.63/x
  3. Step 3: Cross multiply
    217,875.94x = 515,147.63 × 515,147.63
  4. Step 4: Simplify right side
    217,875.94x = 265,377,075,543.14
  5. Step 5: Solve for x
    x = 265,377,075,543.14/217,875.94
  6. Step 6: Final answer
    x = 1,218,019.20

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.