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Finding the Third Proportional to 142,430 and 213,255

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Solution

The third proportional to 142,430 and 213,255 is: 319,298.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,430 : 213,255 = 213,255 : x
  2. Step 2: Convert to fraction form
    142,430/213,255 = 213,255/x
  3. Step 3: Cross multiply
    142,430x = 213,255 × 213,255
  4. Step 4: Simplify right side
    142,430x = 45,477,695,025
  5. Step 5: Solve for x
    x = 45,477,695,025/142,430
  6. Step 6: Final answer
    x = 319,298.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.