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Finding the Third Proportional to 169,776 and 258,352.50

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Solution

The third proportional to 169,776 and 258,352.50 is: 393,141.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,776 : 258,352.50 = 258,352.50 : x
  2. Step 2: Convert to fraction form
    169,776/258,352.50 = 258,352.50/x
  3. Step 3: Cross multiply
    169,776x = 258,352.50 × 258,352.50
  4. Step 4: Simplify right side
    169,776x = 66,746,014,256.25
  5. Step 5: Solve for x
    x = 66,746,014,256.25/169,776
  6. Step 6: Final answer
    x = 393,141.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.