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Finding the Third Proportional to 301,719 and 455,655

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Solution

The third proportional to 301,719 and 455,655 is: 688,128.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,719 : 455,655 = 455,655 : x
  2. Step 2: Convert to fraction form
    301,719/455,655 = 455,655/x
  3. Step 3: Cross multiply
    301,719x = 455,655 × 455,655
  4. Step 4: Simplify right side
    301,719x = 207,621,479,025
  5. Step 5: Solve for x
    x = 207,621,479,025/301,719
  6. Step 6: Final answer
    x = 688,128.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.