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Finding the Third Proportional to 171,579 and 258,718.50

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Solution

The third proportional to 171,579 and 258,718.50 is: 390,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,579 : 258,718.50 = 258,718.50 : x
  2. Step 2: Convert to fraction form
    171,579/258,718.50 = 258,718.50/x
  3. Step 3: Cross multiply
    171,579x = 258,718.50 × 258,718.50
  4. Step 4: Simplify right side
    171,579x = 66,935,262,242.25
  5. Step 5: Solve for x
    x = 66,935,262,242.25/171,579
  6. Step 6: Final answer
    x = 390,113.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.