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Finding the Third Proportional to 549,936 and 805,215

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Solution

The third proportional to 549,936 and 805,215 is: 1,178,993.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,936 : 805,215 = 805,215 : x
  2. Step 2: Convert to fraction form
    549,936/805,215 = 805,215/x
  3. Step 3: Cross multiply
    549,936x = 805,215 × 805,215
  4. Step 4: Simplify right side
    549,936x = 648,371,196,225
  5. Step 5: Solve for x
    x = 648,371,196,225/549,936
  6. Step 6: Final answer
    x = 1,178,993.91

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.