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Finding the Third Proportional to 306,477 and 475,659

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Solution

The third proportional to 306,477 and 475,659 is: 738,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,477 : 475,659 = 475,659 : x
  2. Step 2: Convert to fraction form
    306,477/475,659 = 475,659/x
  3. Step 3: Cross multiply
    306,477x = 475,659 × 475,659
  4. Step 4: Simplify right side
    306,477x = 226,251,484,281
  5. Step 5: Solve for x
    x = 226,251,484,281/306,477
  6. Step 6: Final answer
    x = 738,233.16

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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.