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Finding the Third Proportional to 315,184 and 459,296

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Solution

The third proportional to 315,184 and 459,296 is: 669,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,184 : 459,296 = 459,296 : x
  2. Step 2: Convert to fraction form
    315,184/459,296 = 459,296/x
  3. Step 3: Cross multiply
    315,184x = 459,296 × 459,296
  4. Step 4: Simplify right side
    315,184x = 210,952,815,616
  5. Step 5: Solve for x
    x = 210,952,815,616/315,184
  6. Step 6: Final answer
    x = 669,300.52

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.