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Finding the Third Proportional to 309,614 and 478,515

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Solution

The third proportional to 309,614 and 478,515 is: 739,555.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,614 : 478,515 = 478,515 : x
  2. Step 2: Convert to fraction form
    309,614/478,515 = 478,515/x
  3. Step 3: Cross multiply
    309,614x = 478,515 × 478,515
  4. Step 4: Simplify right side
    309,614x = 228,976,605,225
  5. Step 5: Solve for x
    x = 228,976,605,225/309,614
  6. Step 6: Final answer
    x = 739,555.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.