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Finding the Third Proportional to 209,220 and 457,317

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Solution

The third proportional to 209,220 and 457,317 is: 999,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,220 : 457,317 = 457,317 : x
  2. Step 2: Convert to fraction form
    209,220/457,317 = 457,317/x
  3. Step 3: Cross multiply
    209,220x = 457,317 × 457,317
  4. Step 4: Simplify right side
    209,220x = 209,138,838,489
  5. Step 5: Solve for x
    x = 209,138,838,489/209,220
  6. Step 6: Final answer
    x = 999,612.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.