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Finding the Third Proportional to 209,672 and 456,208

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Solution

The third proportional to 209,672 and 456,208 is: 992,625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,672 : 456,208 = 456,208 : x
  2. Step 2: Convert to fraction form
    209,672/456,208 = 456,208/x
  3. Step 3: Cross multiply
    209,672x = 456,208 × 456,208
  4. Step 4: Simplify right side
    209,672x = 208,125,739,264
  5. Step 5: Solve for x
    x = 208,125,739,264/209,672
  6. Step 6: Final answer
    x = 992,625.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.