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Finding the Third Proportional to 142,912.50 and 304,323

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Solution

The third proportional to 142,912.50 and 304,323 is: 648,036.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,912.50 : 304,323 = 304,323 : x
  2. Step 2: Convert to fraction form
    142,912.50/304,323 = 304,323/x
  3. Step 3: Cross multiply
    142,912.50x = 304,323 × 304,323
  4. Step 4: Simplify right side
    142,912.50x = 92,612,488,329
  5. Step 5: Solve for x
    x = 92,612,488,329/142,912.50
  6. Step 6: Final answer
    x = 648,036.30

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.