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Finding the Third Proportional to 133,712 and 293,663

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Solution

The third proportional to 133,712 and 293,663 is: 644,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,712 : 293,663 = 293,663 : x
  2. Step 2: Convert to fraction form
    133,712/293,663 = 293,663/x
  3. Step 3: Cross multiply
    133,712x = 293,663 × 293,663
  4. Step 4: Simplify right side
    133,712x = 86,237,957,569
  5. Step 5: Solve for x
    x = 86,237,957,569/133,712
  6. Step 6: Final answer
    x = 644,953.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.