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Finding the Third Proportional to 209,312.25 and 440,859

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Solution

The third proportional to 209,312.25 and 440,859 is: 928,548.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,312.25 : 440,859 = 440,859 : x
  2. Step 2: Convert to fraction form
    209,312.25/440,859 = 440,859/x
  3. Step 3: Cross multiply
    209,312.25x = 440,859 × 440,859
  4. Step 4: Simplify right side
    209,312.25x = 194,356,657,881
  5. Step 5: Solve for x
    x = 194,356,657,881/209,312.25
  6. Step 6: Final answer
    x = 928,548.89

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.