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Finding the Third Proportional to 266,664 and 578,544

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Solution

The third proportional to 266,664 and 578,544 is: 1,255,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,664 : 578,544 = 578,544 : x
  2. Step 2: Convert to fraction form
    266,664/578,544 = 578,544/x
  3. Step 3: Cross multiply
    266,664x = 578,544 × 578,544
  4. Step 4: Simplify right side
    266,664x = 334,713,159,936
  5. Step 5: Solve for x
    x = 334,713,159,936/266,664
  6. Step 6: Final answer
    x = 1,255,186.90

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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.