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Finding the Third Proportional to 239,370 and 371,695

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Solution

The third proportional to 239,370 and 371,695 is: 577,169.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,370 : 371,695 = 371,695 : x
  2. Step 2: Convert to fraction form
    239,370/371,695 = 371,695/x
  3. Step 3: Cross multiply
    239,370x = 371,695 × 371,695
  4. Step 4: Simplify right side
    239,370x = 138,157,173,025
  5. Step 5: Solve for x
    x = 138,157,173,025/239,370
  6. Step 6: Final answer
    x = 577,169.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.