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Finding the Third Proportional to 309,910 and 478,534

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Solution

The third proportional to 309,910 and 478,534 is: 738,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,910 : 478,534 = 478,534 : x
  2. Step 2: Convert to fraction form
    309,910/478,534 = 478,534/x
  3. Step 3: Cross multiply
    309,910x = 478,534 × 478,534
  4. Step 4: Simplify right side
    309,910x = 228,994,789,156
  5. Step 5: Solve for x
    x = 228,994,789,156/309,910
  6. Step 6: Final answer
    x = 738,907.39

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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.