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Finding the Third Proportional to 303,545 and 459,855

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Solution

The third proportional to 303,545 and 459,855 is: 696,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,545 : 459,855 = 459,855 : x
  2. Step 2: Convert to fraction form
    303,545/459,855 = 459,855/x
  3. Step 3: Cross multiply
    303,545x = 459,855 × 459,855
  4. Step 4: Simplify right side
    303,545x = 211,466,621,025
  5. Step 5: Solve for x
    x = 211,466,621,025/303,545
  6. Step 6: Final answer
    x = 696,656.58

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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.