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Finding the Third Proportional to 100,730 and 213,424

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Solution

The third proportional to 100,730 and 213,424 is: 452,197.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,730 : 213,424 = 213,424 : x
  2. Step 2: Convert to fraction form
    100,730/213,424 = 213,424/x
  3. Step 3: Cross multiply
    100,730x = 213,424 × 213,424
  4. Step 4: Simplify right side
    100,730x = 45,549,803,776
  5. Step 5: Solve for x
    x = 45,549,803,776/100,730
  6. Step 6: Final answer
    x = 452,197.00

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.