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Finding the Third Proportional to 235,958 and 518,572

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Solution

The third proportional to 235,958 and 518,572 is: 1,139,681.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,958 : 518,572 = 518,572 : x
  2. Step 2: Convert to fraction form
    235,958/518,572 = 518,572/x
  3. Step 3: Cross multiply
    235,958x = 518,572 × 518,572
  4. Step 4: Simplify right side
    235,958x = 268,916,919,184
  5. Step 5: Solve for x
    x = 268,916,919,184/235,958
  6. Step 6: Final answer
    x = 1,139,681.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.