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Finding the Third Proportional to 315,132 and 459,156

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Solution

The third proportional to 315,132 and 459,156 is: 669,002.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,132 : 459,156 = 459,156 : x
  2. Step 2: Convert to fraction form
    315,132/459,156 = 459,156/x
  3. Step 3: Cross multiply
    315,132x = 459,156 × 459,156
  4. Step 4: Simplify right side
    315,132x = 210,824,232,336
  5. Step 5: Solve for x
    x = 210,824,232,336/315,132
  6. Step 6: Final answer
    x = 669,002.93

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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.