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Finding the Third Proportional to 344,622 and 520,209

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Solution

The third proportional to 344,622 and 520,209 is: 785,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,622 : 520,209 = 520,209 : x
  2. Step 2: Convert to fraction form
    344,622/520,209 = 520,209/x
  3. Step 3: Cross multiply
    344,622x = 520,209 × 520,209
  4. Step 4: Simplify right side
    344,622x = 270,617,403,681
  5. Step 5: Solve for x
    x = 270,617,403,681/344,622
  6. Step 6: Final answer
    x = 785,258.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.