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Finding the Third Proportional to 301,835 and 408,465

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Solution

The third proportional to 301,835 and 408,465 is: 552,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,835 : 408,465 = 408,465 : x
  2. Step 2: Convert to fraction form
    301,835/408,465 = 408,465/x
  3. Step 3: Cross multiply
    301,835x = 408,465 × 408,465
  4. Step 4: Simplify right side
    301,835x = 166,843,656,225
  5. Step 5: Solve for x
    x = 166,843,656,225/301,835
  6. Step 6: Final answer
    x = 552,764.44

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.