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Finding the Third Proportional to 266,900 and 415,658

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Solution

The third proportional to 266,900 and 415,658 is: 647,326.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,900 : 415,658 = 415,658 : x
  2. Step 2: Convert to fraction form
    266,900/415,658 = 415,658/x
  3. Step 3: Cross multiply
    266,900x = 415,658 × 415,658
  4. Step 4: Simplify right side
    266,900x = 172,771,572,964
  5. Step 5: Solve for x
    x = 172,771,572,964/266,900
  6. Step 6: Final answer
    x = 647,326.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.