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Finding the Third Proportional to 103,475 and 211,324

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Solution

The third proportional to 103,475 and 211,324 is: 431,580.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,475 : 211,324 = 211,324 : x
  2. Step 2: Convert to fraction form
    103,475/211,324 = 211,324/x
  3. Step 3: Cross multiply
    103,475x = 211,324 × 211,324
  4. Step 4: Simplify right side
    103,475x = 44,657,832,976
  5. Step 5: Solve for x
    x = 44,657,832,976/103,475
  6. Step 6: Final answer
    x = 431,580.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.