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Finding the Third Proportional to 122,402 and 172,364

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Solution

The third proportional to 122,402 and 172,364 is: 242,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,402 : 172,364 = 172,364 : x
  2. Step 2: Convert to fraction form
    122,402/172,364 = 172,364/x
  3. Step 3: Cross multiply
    122,402x = 172,364 × 172,364
  4. Step 4: Simplify right side
    122,402x = 29,709,348,496
  5. Step 5: Solve for x
    x = 29,709,348,496/122,402
  6. Step 6: Final answer
    x = 242,719.47

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.