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Finding the Third Proportional to 142,953.75 and 210,272.63

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Solution

The third proportional to 142,953.75 and 210,272.63 is: 309,292.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,953.75 : 210,272.63 = 210,272.63 : x
  2. Step 2: Convert to fraction form
    142,953.75/210,272.63 = 210,272.63/x
  3. Step 3: Cross multiply
    142,953.75x = 210,272.63 × 210,272.63
  4. Step 4: Simplify right side
    142,953.75x = 44,214,576,824.39
  5. Step 5: Solve for x
    x = 44,214,576,824.39/142,953.75
  6. Step 6: Final answer
    x = 309,292.88

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.