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Finding the Third Proportional to 213,111 and 459,432

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Solution

The third proportional to 213,111 and 459,432 is: 990,459.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,111 : 459,432 = 459,432 : x
  2. Step 2: Convert to fraction form
    213,111/459,432 = 459,432/x
  3. Step 3: Cross multiply
    213,111x = 459,432 × 459,432
  4. Step 4: Simplify right side
    213,111x = 211,077,762,624
  5. Step 5: Solve for x
    x = 211,077,762,624/213,111
  6. Step 6: Final answer
    x = 990,459.26

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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.