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Finding the Third Proportional to 169,271.44 and 257,231.53

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Solution

The third proportional to 169,271.44 and 257,231.53 is: 390,899.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,271.44 : 257,231.53 = 257,231.53 : x
  2. Step 2: Convert to fraction form
    169,271.44/257,231.53 = 257,231.53/x
  3. Step 3: Cross multiply
    169,271.44x = 257,231.53 × 257,231.53
  4. Step 4: Simplify right side
    169,271.44x = 66,168,060,669.22
  5. Step 5: Solve for x
    x = 66,168,060,669.22/169,271.44
  6. Step 6: Final answer
    x = 390,899.15

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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.