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Finding the Third Proportional to 356,835 and 521,856

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Solution

The third proportional to 356,835 and 521,856 is: 763,192.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,835 : 521,856 = 521,856 : x
  2. Step 2: Convert to fraction form
    356,835/521,856 = 521,856/x
  3. Step 3: Cross multiply
    356,835x = 521,856 × 521,856
  4. Step 4: Simplify right side
    356,835x = 272,333,684,736
  5. Step 5: Solve for x
    x = 272,333,684,736/356,835
  6. Step 6: Final answer
    x = 763,192.19

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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.