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Finding the Third Proportional to 213,126 and 459,492

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Solution

The third proportional to 213,126 and 459,492 is: 990,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,126 : 459,492 = 459,492 : x
  2. Step 2: Convert to fraction form
    213,126/459,492 = 459,492/x
  3. Step 3: Cross multiply
    213,126x = 459,492 × 459,492
  4. Step 4: Simplify right side
    213,126x = 211,132,898,064
  5. Step 5: Solve for x
    x = 211,132,898,064/213,126
  6. Step 6: Final answer
    x = 990,648.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.