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Finding the Third Proportional to 549,612 and 874,286

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Solution

The third proportional to 549,612 and 874,286 is: 1,390,755.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,612 : 874,286 = 874,286 : x
  2. Step 2: Convert to fraction form
    549,612/874,286 = 874,286/x
  3. Step 3: Cross multiply
    549,612x = 874,286 × 874,286
  4. Step 4: Simplify right side
    549,612x = 764,376,009,796
  5. Step 5: Solve for x
    x = 764,376,009,796/549,612
  6. Step 6: Final answer
    x = 1,390,755.68

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.