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Finding the Third Proportional to 172,058.63 and 257,968.59

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Solution

The third proportional to 172,058.63 and 257,968.59 is: 386,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,058.63 : 257,968.59 = 257,968.59 : x
  2. Step 2: Convert to fraction form
    172,058.63/257,968.59 = 257,968.59/x
  3. Step 3: Cross multiply
    172,058.63x = 257,968.59 × 257,968.59
  4. Step 4: Simplify right side
    172,058.63x = 66,547,795,361.35
  5. Step 5: Solve for x
    x = 66,547,795,361.35/172,058.63
  6. Step 6: Final answer
    x = 386,773.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.