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Finding the Third Proportional to 242,286 and 371,892

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Solution

The third proportional to 242,286 and 371,892 is: 570,828.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,286 : 371,892 = 371,892 : x
  2. Step 2: Convert to fraction form
    242,286/371,892 = 371,892/x
  3. Step 3: Cross multiply
    242,286x = 371,892 × 371,892
  4. Step 4: Simplify right side
    242,286x = 138,303,659,664
  5. Step 5: Solve for x
    x = 138,303,659,664/242,286
  6. Step 6: Final answer
    x = 570,828.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.