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Finding the Third Proportional to 356,860 and 521,889

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Solution

The third proportional to 356,860 and 521,889 is: 763,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,860 : 521,889 = 521,889 : x
  2. Step 2: Convert to fraction form
    356,860/521,889 = 521,889/x
  3. Step 3: Cross multiply
    356,860x = 521,889 × 521,889
  4. Step 4: Simplify right side
    356,860x = 272,368,128,321
  5. Step 5: Solve for x
    x = 272,368,128,321/356,860
  6. Step 6: Final answer
    x = 763,235.24

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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.