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Finding the Third Proportional to 266,078 and 578,082

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Solution

The third proportional to 266,078 and 578,082 is: 1,255,942.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,078 : 578,082 = 578,082 : x
  2. Step 2: Convert to fraction form
    266,078/578,082 = 578,082/x
  3. Step 3: Cross multiply
    266,078x = 578,082 × 578,082
  4. Step 4: Simplify right side
    266,078x = 334,178,798,724
  5. Step 5: Solve for x
    x = 334,178,798,724/266,078
  6. Step 6: Final answer
    x = 1,255,942.99

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.