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Finding the Third Proportional to 231,300.56 and 493,138.13

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Solution

The third proportional to 231,300.56 and 493,138.13 is: 1,051,381.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,300.56 : 493,138.13 = 493,138.13 : x
  2. Step 2: Convert to fraction form
    231,300.56/493,138.13 = 493,138.13/x
  3. Step 3: Cross multiply
    231,300.56x = 493,138.13 × 493,138.13
  4. Step 4: Simplify right side
    231,300.56x = 243,185,210,328.52
  5. Step 5: Solve for x
    x = 243,185,210,328.52/231,300.56
  6. Step 6: Final answer
    x = 1,051,381.84

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.