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Finding the Third Proportional to 103,598.16 and 223,136.86

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Solution

The third proportional to 103,598.16 and 223,136.86 is: 480,607.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,598.16 : 223,136.86 = 223,136.86 : x
  2. Step 2: Convert to fraction form
    103,598.16/223,136.86 = 223,136.86/x
  3. Step 3: Cross multiply
    103,598.16x = 223,136.86 × 223,136.86
  4. Step 4: Simplify right side
    103,598.16x = 49,790,058,011.74
  5. Step 5: Solve for x
    x = 49,790,058,011.74/103,598.16
  6. Step 6: Final answer
    x = 480,607.57

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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.