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Finding the Third Proportional to 277,403 and 417,700

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Solution

The third proportional to 277,403 and 417,700 is: 628,952.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,403 : 417,700 = 417,700 : x
  2. Step 2: Convert to fraction form
    277,403/417,700 = 417,700/x
  3. Step 3: Cross multiply
    277,403x = 417,700 × 417,700
  4. Step 4: Simplify right side
    277,403x = 174,473,290,000
  5. Step 5: Solve for x
    x = 174,473,290,000/277,403
  6. Step 6: Final answer
    x = 628,952.43

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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.