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Finding the Third Proportional to 115,712 and 234,643

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Solution

The third proportional to 115,712 and 234,643 is: 475,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,712 : 234,643 = 234,643 : x
  2. Step 2: Convert to fraction form
    115,712/234,643 = 234,643/x
  3. Step 3: Cross multiply
    115,712x = 234,643 × 234,643
  4. Step 4: Simplify right side
    115,712x = 55,057,337,449
  5. Step 5: Solve for x
    x = 55,057,337,449/115,712
  6. Step 6: Final answer
    x = 475,813.55

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.