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Finding the Third Proportional to 309,909 and 478,532

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Solution

The third proportional to 309,909 and 478,532 is: 738,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,909 : 478,532 = 478,532 : x
  2. Step 2: Convert to fraction form
    309,909/478,532 = 478,532/x
  3. Step 3: Cross multiply
    309,909x = 478,532 × 478,532
  4. Step 4: Simplify right side
    309,909x = 228,992,875,024
  5. Step 5: Solve for x
    x = 228,992,875,024/309,909
  6. Step 6: Final answer
    x = 738,903.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.