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Finding the Third Proportional to 210,924 and 308,448

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Solution

The third proportional to 210,924 and 308,448 is: 451,063.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,924 : 308,448 = 308,448 : x
  2. Step 2: Convert to fraction form
    210,924/308,448 = 308,448/x
  3. Step 3: Cross multiply
    210,924x = 308,448 × 308,448
  4. Step 4: Simplify right side
    210,924x = 95,140,168,704
  5. Step 5: Solve for x
    x = 95,140,168,704/210,924
  6. Step 6: Final answer
    x = 451,063.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.