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Finding the Third Proportional to 272,862 and 578,172

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Solution

The third proportional to 272,862 and 578,172 is: 1,225,098.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,862 : 578,172 = 578,172 : x
  2. Step 2: Convert to fraction form
    272,862/578,172 = 578,172/x
  3. Step 3: Cross multiply
    272,862x = 578,172 × 578,172
  4. Step 4: Simplify right side
    272,862x = 334,282,861,584
  5. Step 5: Solve for x
    x = 334,282,861,584/272,862
  6. Step 6: Final answer
    x = 1,225,098.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.