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Finding the Third Proportional to 142,858 and 213,585

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Solution

The third proportional to 142,858 and 213,585 is: 319,327.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,858 : 213,585 = 213,585 : x
  2. Step 2: Convert to fraction form
    142,858/213,585 = 213,585/x
  3. Step 3: Cross multiply
    142,858x = 213,585 × 213,585
  4. Step 4: Simplify right side
    142,858x = 45,618,552,225
  5. Step 5: Solve for x
    x = 45,618,552,225/142,858
  6. Step 6: Final answer
    x = 319,327.95

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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.