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Finding the Third Proportional to 273,582 and 409,275

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Solution

The third proportional to 273,582 and 409,275 is: 612,269.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,582 : 409,275 = 409,275 : x
  2. Step 2: Convert to fraction form
    273,582/409,275 = 409,275/x
  3. Step 3: Cross multiply
    273,582x = 409,275 × 409,275
  4. Step 4: Simplify right side
    273,582x = 167,506,025,625
  5. Step 5: Solve for x
    x = 167,506,025,625/273,582
  6. Step 6: Final answer
    x = 612,269.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.