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Finding the Third Proportional to 209,901 and 452,970

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Solution

The third proportional to 209,901 and 452,970 is: 977,517.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,901 : 452,970 = 452,970 : x
  2. Step 2: Convert to fraction form
    209,901/452,970 = 452,970/x
  3. Step 3: Cross multiply
    209,901x = 452,970 × 452,970
  4. Step 4: Simplify right side
    209,901x = 205,181,820,900
  5. Step 5: Solve for x
    x = 205,181,820,900/209,901
  6. Step 6: Final answer
    x = 977,517.12

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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.