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Finding the Third Proportional to 236,292 and 518,513

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Solution

The third proportional to 236,292 and 518,513 is: 1,137,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,292 : 518,513 = 518,513 : x
  2. Step 2: Convert to fraction form
    236,292/518,513 = 518,513/x
  3. Step 3: Cross multiply
    236,292x = 518,513 × 518,513
  4. Step 4: Simplify right side
    236,292x = 268,855,731,169
  5. Step 5: Solve for x
    x = 268,855,731,169/236,292
  6. Step 6: Final answer
    x = 1,137,811.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.