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Finding the Third Proportional to 209,657 and 452,686

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Solution

The third proportional to 209,657 and 452,686 is: 977,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,657 : 452,686 = 452,686 : x
  2. Step 2: Convert to fraction form
    209,657/452,686 = 452,686/x
  3. Step 3: Cross multiply
    209,657x = 452,686 × 452,686
  4. Step 4: Simplify right side
    209,657x = 204,924,614,596
  5. Step 5: Solve for x
    x = 204,924,614,596/209,657
  6. Step 6: Final answer
    x = 977,427.96

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.