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Finding the Third Proportional to 235,620 and 512,712

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Solution

The third proportional to 235,620 and 512,712 is: 1,115,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,620 : 512,712 = 512,712 : x
  2. Step 2: Convert to fraction form
    235,620/512,712 = 512,712/x
  3. Step 3: Cross multiply
    235,620x = 512,712 × 512,712
  4. Step 4: Simplify right side
    235,620x = 262,873,594,944
  5. Step 5: Solve for x
    x = 262,873,594,944/235,620
  6. Step 6: Final answer
    x = 1,115,667.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.