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Finding the Third Proportional to 239,178 and 503,140

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Solution

The third proportional to 239,178 and 503,140 is: 1,058,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,178 : 503,140 = 503,140 : x
  2. Step 2: Convert to fraction form
    239,178/503,140 = 503,140/x
  3. Step 3: Cross multiply
    239,178x = 503,140 × 503,140
  4. Step 4: Simplify right side
    239,178x = 253,149,859,600
  5. Step 5: Solve for x
    x = 253,149,859,600/239,178
  6. Step 6: Final answer
    x = 1,058,416.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.