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Finding the Third Proportional to 109,710 and 258,723

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Solution

The third proportional to 109,710 and 258,723 is: 610,132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,710 : 258,723 = 258,723 : x
  2. Step 2: Convert to fraction form
    109,710/258,723 = 258,723/x
  3. Step 3: Cross multiply
    109,710x = 258,723 × 258,723
  4. Step 4: Simplify right side
    109,710x = 66,937,590,729
  5. Step 5: Solve for x
    x = 66,937,590,729/109,710
  6. Step 6: Final answer
    x = 610,132.08

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.