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Finding the Third Proportional to 266,074 and 578,078

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Solution

The third proportional to 266,074 and 578,078 is: 1,255,944.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,074 : 578,078 = 578,078 : x
  2. Step 2: Convert to fraction form
    266,074/578,078 = 578,078/x
  3. Step 3: Cross multiply
    266,074x = 578,078 × 578,078
  4. Step 4: Simplify right side
    266,074x = 334,174,174,084
  5. Step 5: Solve for x
    x = 334,174,174,084/266,074
  6. Step 6: Final answer
    x = 1,255,944.49

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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.