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Finding the Third Proportional to 306,602 and 478,524

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Solution

The third proportional to 306,602 and 478,524 is: 746,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,602 : 478,524 = 478,524 : x
  2. Step 2: Convert to fraction form
    306,602/478,524 = 478,524/x
  3. Step 3: Cross multiply
    306,602x = 478,524 × 478,524
  4. Step 4: Simplify right side
    306,602x = 228,985,218,576
  5. Step 5: Solve for x
    x = 228,985,218,576/306,602
  6. Step 6: Final answer
    x = 746,848.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.