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Finding the Third Proportional to 291,127 and 636,563

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Solution

The third proportional to 291,127 and 636,563 is: 1,391,875.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,127 : 636,563 = 636,563 : x
  2. Step 2: Convert to fraction form
    291,127/636,563 = 636,563/x
  3. Step 3: Cross multiply
    291,127x = 636,563 × 636,563
  4. Step 4: Simplify right side
    291,127x = 405,212,452,969
  5. Step 5: Solve for x
    x = 405,212,452,969/291,127
  6. Step 6: Final answer
    x = 1,391,875.21

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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.