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Finding the Third Proportional to 232,600 and 500,840

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Solution

The third proportional to 232,600 and 500,840 is: 1,078,420.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,600 : 500,840 = 500,840 : x
  2. Step 2: Convert to fraction form
    232,600/500,840 = 500,840/x
  3. Step 3: Cross multiply
    232,600x = 500,840 × 500,840
  4. Step 4: Simplify right side
    232,600x = 250,840,705,600
  5. Step 5: Solve for x
    x = 250,840,705,600/232,600
  6. Step 6: Final answer
    x = 1,078,420.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.