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Finding the Third Proportional to 217,820 and 346,827

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Solution

The third proportional to 217,820 and 346,827 is: 552,240.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,820 : 346,827 = 346,827 : x
  2. Step 2: Convert to fraction form
    217,820/346,827 = 346,827/x
  3. Step 3: Cross multiply
    217,820x = 346,827 × 346,827
  4. Step 4: Simplify right side
    217,820x = 120,288,967,929
  5. Step 5: Solve for x
    x = 120,288,967,929/217,820
  6. Step 6: Final answer
    x = 552,240.23

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.