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Finding the Third Proportional to 99,748 and 213,319

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Solution

The third proportional to 99,748 and 213,319 is: 456,199.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,748 : 213,319 = 213,319 : x
  2. Step 2: Convert to fraction form
    99,748/213,319 = 213,319/x
  3. Step 3: Cross multiply
    99,748x = 213,319 × 213,319
  4. Step 4: Simplify right side
    99,748x = 45,504,995,761
  5. Step 5: Solve for x
    x = 45,504,995,761/99,748
  6. Step 6: Final answer
    x = 456,199.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.