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Finding the Third Proportional to 285,922 and 611,109

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Solution

The third proportional to 285,922 and 611,109 is: 1,306,140.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,922 : 611,109 = 611,109 : x
  2. Step 2: Convert to fraction form
    285,922/611,109 = 611,109/x
  3. Step 3: Cross multiply
    285,922x = 611,109 × 611,109
  4. Step 4: Simplify right side
    285,922x = 373,454,209,881
  5. Step 5: Solve for x
    x = 373,454,209,881/285,922
  6. Step 6: Final answer
    x = 1,306,140.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.