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Finding the Third Proportional to 291,128 and 636,565

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Solution

The third proportional to 291,128 and 636,565 is: 1,391,879.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,128 : 636,565 = 636,565 : x
  2. Step 2: Convert to fraction form
    291,128/636,565 = 636,565/x
  3. Step 3: Cross multiply
    291,128x = 636,565 × 636,565
  4. Step 4: Simplify right side
    291,128x = 405,214,999,225
  5. Step 5: Solve for x
    x = 405,214,999,225/291,128
  6. Step 6: Final answer
    x = 1,391,879.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.