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Finding the Third Proportional to 142,464 and 211,498

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Solution

The third proportional to 142,464 and 211,498 is: 313,983.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,464 : 211,498 = 211,498 : x
  2. Step 2: Convert to fraction form
    142,464/211,498 = 211,498/x
  3. Step 3: Cross multiply
    142,464x = 211,498 × 211,498
  4. Step 4: Simplify right side
    142,464x = 44,731,404,004
  5. Step 5: Solve for x
    x = 44,731,404,004/142,464
  6. Step 6: Final answer
    x = 313,983.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.