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Finding the Third Proportional to 117,421 and 157,296

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Solution

The third proportional to 117,421 and 157,296 is: 210,712.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,421 : 157,296 = 157,296 : x
  2. Step 2: Convert to fraction form
    117,421/157,296 = 157,296/x
  3. Step 3: Cross multiply
    117,421x = 157,296 × 157,296
  4. Step 4: Simplify right side
    117,421x = 24,742,031,616
  5. Step 5: Solve for x
    x = 24,742,031,616/117,421
  6. Step 6: Final answer
    x = 210,712.15

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.