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Finding the Third Proportional to 309,970 and 478,767

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Solution

The third proportional to 309,970 and 478,767 is: 739,483.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,970 : 478,767 = 478,767 : x
  2. Step 2: Convert to fraction form
    309,970/478,767 = 478,767/x
  3. Step 3: Cross multiply
    309,970x = 478,767 × 478,767
  4. Step 4: Simplify right side
    309,970x = 229,217,840,289
  5. Step 5: Solve for x
    x = 229,217,840,289/309,970
  6. Step 6: Final answer
    x = 739,483.95

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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.