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Finding the Third Proportional to 266,700 and 389,508

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Solution

The third proportional to 266,700 and 389,508 is: 568,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,700 : 389,508 = 389,508 : x
  2. Step 2: Convert to fraction form
    266,700/389,508 = 389,508/x
  3. Step 3: Cross multiply
    266,700x = 389,508 × 389,508
  4. Step 4: Simplify right side
    266,700x = 151,716,482,064
  5. Step 5: Solve for x
    x = 151,716,482,064/266,700
  6. Step 6: Final answer
    x = 568,865.70

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.