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Finding the Third Proportional to 151,830.50 and 216,285

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Solution

The third proportional to 151,830.50 and 216,285 is: 308,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,830.50 : 216,285 = 216,285 : x
  2. Step 2: Convert to fraction form
    151,830.50/216,285 = 216,285/x
  3. Step 3: Cross multiply
    151,830.50x = 216,285 × 216,285
  4. Step 4: Simplify right side
    151,830.50x = 46,779,201,225
  5. Step 5: Solve for x
    x = 46,779,201,225/151,830.50
  6. Step 6: Final answer
    x = 308,101.48

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.