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Finding the Third Proportional to 213,407.16 and 285,452.86

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Solution

The third proportional to 213,407.16 and 285,452.86 is: 381,821.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,407.16 : 285,452.86 = 285,452.86 : x
  2. Step 2: Convert to fraction form
    213,407.16/285,452.86 = 285,452.86/x
  3. Step 3: Cross multiply
    213,407.16x = 285,452.86 × 285,452.86
  4. Step 4: Simplify right side
    213,407.16x = 81,483,334,925.36
  5. Step 5: Solve for x
    x = 81,483,334,925.36/213,407.16
  6. Step 6: Final answer
    x = 381,821.01

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.