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Finding the Third Proportional to 266,672 and 389,478

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Solution

The third proportional to 266,672 and 389,478 is: 568,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,672 : 389,478 = 389,478 : x
  2. Step 2: Convert to fraction form
    266,672/389,478 = 389,478/x
  3. Step 3: Cross multiply
    266,672x = 389,478 × 389,478
  4. Step 4: Simplify right side
    266,672x = 151,693,112,484
  5. Step 5: Solve for x
    x = 151,693,112,484/266,672
  6. Step 6: Final answer
    x = 568,837.80

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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.