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Finding the Third Proportional to 193,248 and 413,032

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Solution

The third proportional to 193,248 and 413,032 is: 882,779.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,248 : 413,032 = 413,032 : x
  2. Step 2: Convert to fraction form
    193,248/413,032 = 413,032/x
  3. Step 3: Cross multiply
    193,248x = 413,032 × 413,032
  4. Step 4: Simplify right side
    193,248x = 170,595,433,024
  5. Step 5: Solve for x
    x = 170,595,433,024/193,248
  6. Step 6: Final answer
    x = 882,779.81

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.