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Finding the Third Proportional to 209,910 and 452,988

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Solution

The third proportional to 209,910 and 452,988 is: 977,552.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,910 : 452,988 = 452,988 : x
  2. Step 2: Convert to fraction form
    209,910/452,988 = 452,988/x
  3. Step 3: Cross multiply
    209,910x = 452,988 × 452,988
  4. Step 4: Simplify right side
    209,910x = 205,198,128,144
  5. Step 5: Solve for x
    x = 205,198,128,144/209,910
  6. Step 6: Final answer
    x = 977,552.89

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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.