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Finding the Third Proportional to 133,510 and 291,637

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Solution

The third proportional to 133,510 and 291,637 is: 637,046.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,510 : 291,637 = 291,637 : x
  2. Step 2: Convert to fraction form
    133,510/291,637 = 291,637/x
  3. Step 3: Cross multiply
    133,510x = 291,637 × 291,637
  4. Step 4: Simplify right side
    133,510x = 85,052,139,769
  5. Step 5: Solve for x
    x = 85,052,139,769/133,510
  6. Step 6: Final answer
    x = 637,046.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.