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Finding the Third Proportional to 158,256 and 211,402

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Solution

The third proportional to 158,256 and 211,402 is: 282,395.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,256 : 211,402 = 211,402 : x
  2. Step 2: Convert to fraction form
    158,256/211,402 = 211,402/x
  3. Step 3: Cross multiply
    158,256x = 211,402 × 211,402
  4. Step 4: Simplify right side
    158,256x = 44,690,805,604
  5. Step 5: Solve for x
    x = 44,690,805,604/158,256
  6. Step 6: Final answer
    x = 282,395.65

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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.