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Finding the Third Proportional to 356,906 and 521,949

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Solution

The third proportional to 356,906 and 521,949 is: 763,312.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,906 : 521,949 = 521,949 : x
  2. Step 2: Convert to fraction form
    356,906/521,949 = 521,949/x
  3. Step 3: Cross multiply
    356,906x = 521,949 × 521,949
  4. Step 4: Simplify right side
    356,906x = 272,430,758,601
  5. Step 5: Solve for x
    x = 272,430,758,601/356,906
  6. Step 6: Final answer
    x = 763,312.35

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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.